JEE Main & Advanced Physics Vectors Question Bank

done Addition and Subtraction of Vectors Total Questions - 53

• question_answer1)
  There are two force vectors, one of 5 N and other of 12 N at what angle the two vectors be added to get resultant vector of 17 N, 7 N and 13 N respectively
  A)
  \[0{}^\circ \], \[\text{18}0{}^\circ \] and \[\text{9}0{}^\circ \]    done clear
  B)
                  \[0{}^\circ \], \[\text{9}0{}^\circ \] and \[\text{18}0{}^\circ \] done clear
  C)
                                  \[0{}^\circ \], \[\text{9}0{}^\circ \] and \[\text{9}0{}^\circ \]       done clear
  D)
                  \[\text{18}0{}^\circ \], \[0{}^\circ \] and \[\text{9}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer2)
  If \[\overrightarrow{A}=4\hat{i}-3\hat{j}\] and \[\overrightarrow{B}=6\hat{i}+8\hat{j}\] then magnitude and direction of \[\overrightarrow{A}\,+\overrightarrow{B}\] will be
  A)
                  \[5,\,{{\tan }^{-1}}(3/4)\]             done clear
  B)
                  \[5\sqrt{5},{{\tan }^{-1}}(1/2)\] done clear
  C)
                  \[10,\,{{\tan }^{-1}}(5)\]               done clear
  D)
                  \[25,\,{{\tan }^{-1}}(3/4)\] done clear
  View Solution play_arrow

• question_answer3)
  A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in its velocity be [UPSEAT 1999]
  A)
                  40 m/s N?W done clear
  B)
                              \[20\sqrt{2}\,\]m/s N?W done clear
  C)
                  40 m/s S?W        done clear
  D)
                  \[20\sqrt{2}\] m/s S?W done clear
  View Solution play_arrow

• question_answer4)
  If the sum of two unit vectors is a unit vector, then magnitude of difference is    [CPMT 1995; CBSE PMT 1989]
  A)
                  \[\sqrt{2}\]         done clear
  B)
                  \[\sqrt{3}\] done clear
  C)
                  \[1/\sqrt{2}\]     done clear
  D)
                  \[\sqrt{5}\] done clear
  View Solution play_arrow

• question_answer5)
  \[\overrightarrow{A}=2\hat{i}+\hat{j},\,B=3\hat{j}-\hat{k}\] and \[\overrightarrow{C}=6\hat{i}-2\hat{k}\].                 Value of \[\overrightarrow{A}-2\overrightarrow{B}+3\overrightarrow{C}\] would be
  A)
                  \[20\hat{i}+5\hat{j}+4\hat{k}\] done clear
  B)
                              \[20\hat{i}-5\hat{j}-4\hat{k}\] done clear
  C)
                  \[4\hat{i}+5\hat{j}+20\hat{k}\] done clear
  D)
                  \[5\hat{i}+4\hat{j}+10\hat{k}\] done clear
  View Solution play_arrow

• question_answer6)
  An object of m kg with speed of v m/s strikes a wall at an angle q and rebounds at the same speed and same angle. The magnitude of the change in momentum of the object will be
  A)
                  \[2m\,v\,\cos \theta \] done clear
  B)
                              \[2\,m\,v\,\sin \theta \] done clear
  C)
                  0 done clear
  D)
                  \[2\,m\,v\] done clear
  View Solution play_arrow

• question_answer7)
  Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is                 [CBSE PMT 1990]
  A)
                  \[\text{45}{}^\circ \]       done clear
  B)
                  \[\text{12}0{}^\circ \] done clear
  C)
                  \[\text{15}0{}^\circ \]    done clear
  D)
                  \[\text{6}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer8)
  For the resultant of the two vectors to be maximum, what must be the angle between them
  A)
                  \[0{}^\circ \] done clear
  B)
                              \[\text{6}0{}^\circ \] done clear
  C)
                  \[90{}^\circ \]    done clear
  D)
                  \[\text{18}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer9)
  A particle is simultaneously acted by two forces equal to 4 N and 3 N. The net force on the particle is       [CPMT 1979]
  A)
                  7 N         done clear
  B)
                  5 N done clear
  C)
                  1 N         done clear
  D)
                  Between 1 N and 7 N done clear
  View Solution play_arrow

• question_answer10)
  Two vectors \[\overrightarrow{A}\]and \[\overrightarrow{B}\]lie in a plane, another vector \[\overrightarrow{C}\]lies outside this plane, then the resultant of these three vectors i.e.,\[\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C}\]                                       [CPMT 1983]
  A)
                  Can be zero done clear
  B)
                              Cannot be zero done clear
  C)
                  Lies in the plane containing \[\overrightarrow{A}+\overrightarrow{B}\] done clear
  D)
                  Lies in the plane containing \[\vec{C}\] done clear
  View Solution play_arrow

• question_answer11)
  If the resultant of the two forces has a magnitude smaller than the magnitude of larger force, the two forces must be
  A)
                  Different both in magnitude and direction done clear
  B)
                  Mutually perpendicular to one another done clear
  C)
                  Possess extremely small magnitude done clear
  D)
                  Point in opposite directions  done clear
  View Solution play_arrow

• question_answer12)
  Forces \[{{F}_{1}}\] and \[{{F}_{2}}\] act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be                                              [CPMT 1991]
  A)
                  \[{{F}_{1}}+{{F}_{2}}\] done clear
  B)
                              \[{{F}_{1}}-{{F}_{2}}\] done clear
  C)
                  \[\sqrt{F_{1}^{2}+F_{2}^{2}}\]   done clear
  D)
                  \[F_{1}^{2}+F_{2}^{2}\] done clear
  View Solution play_arrow

• question_answer13)
  If \[|\overrightarrow{A}-\overrightarrow{B}|\,=\,|\overrightarrow{A}|\,=\,|\overrightarrow{B}|,\,\]the angle between \[\overrightarrow{A}\]and \[\overrightarrow{B}\] is
  A)
                  \[\text{6}0{}^\circ \]       done clear
  B)
                  \[0{}^\circ \] done clear
  C)
                  \[\text{12}0{}^\circ \]    done clear
  D)
                  \[\text{9}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer14)
  Let  the angle between two nonzero vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] be 120° and resultant be \[\overrightarrow{C}\]
  A)
                  \[\overrightarrow{C}\] must be equal to \[|\overrightarrow{A}-\overrightarrow{B}|\] done clear
  B)
                  \[\overrightarrow{C}\] must be less than \[|\overrightarrow{A}-\overrightarrow{B}|\] done clear
  C)
                  \[\overrightarrow{C}\] must be greater than \[|\overrightarrow{A}-\overrightarrow{B}|\] done clear
  D)
                  \[\overrightarrow{C}\] may be equal to \[|\overrightarrow{A}-\overrightarrow{B}|\] done clear
  View Solution play_arrow

• question_answer15)
  The magnitude of vector \[\overrightarrow{A},\,\overrightarrow{B}\] and \[\overrightarrow{C}\] are respectively 12, 5 and 13 units and \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\] then the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is                                      [CPMT 1997]
  A)
                  0              done clear
  B)
                  \[\pi \] done clear
  C)
                  \[\pi /2\]              done clear
  D)
                  \[\pi /4\] done clear
  View Solution play_arrow

• question_answer16)
  Magnitude of vector which comes on addition of two vectors, \[6\hat{i}+7\hat{j}\] and \[3\hat{i}+4\hat{j}\] is                   [BHU 2000]
  A)
                  \[\sqrt{136}\]    done clear
  B)
                  \[\sqrt{13.2}\] done clear
  C)
                  \[\sqrt{202}\]    done clear
  D)
                  \[\sqrt{160}\] done clear
  View Solution play_arrow

• question_answer17)
  A particle has displacement of 12 m towards east and 5 m towards north then 6 m vertically upward. The sum of these displacements is                                               [AIIMS 1998]
  A)
                  12           done clear
  B)
                  10.04 m done clear
  C)
                  14.31 m done clear
  D)
                  None of these done clear
  View Solution play_arrow

• question_answer18)
  The three vectors \[\overrightarrow{A}=3\hat{i}-2\hat{j}+\hat{k},\,\,\overrightarrow{B}=\hat{i}-3\hat{j}+5\hat{k}\] and \[\overrightarrow{C}=2\hat{i}+\hat{j}-4\hat{k}\] form
  A)
                  An equilateral triangle   done clear
  B)
                  Isosceles triangle done clear
  C)
                  A right angled triangle    done clear
  D)
                   No triangle done clear
  View Solution play_arrow

• question_answer19)
  For the figure
  A)
                  \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\] done clear
  B)
                                  \[\overrightarrow{B}+\overrightarrow{C}=\overrightarrow{A}\] done clear
  C)
                  \[\overrightarrow{C}+\overrightarrow{A}=\overrightarrow{B}\] done clear
  D)
                  \[\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C}=0\] done clear
  View Solution play_arrow

• question_answer20)
  Let \[\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B}\] then
  A)
                  \[|\overrightarrow{C|}\] is always greater then \[|\overrightarrow{A}|\] done clear
  B)
                                  It is possible to have \[|\overrightarrow{C}|\,<\,|\overrightarrow{A}|\] and \[|\overrightarrow{C}|\,<\,|\overrightarrow{B}|\] done clear
  C)
                  C is always equal to A + B              done clear
  D)
                                  C is never equal to A + B done clear
  View Solution play_arrow

• question_answer21)
  The value of the sum of two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] with \[\theta \] as the angle between them is                                             [BHU 1996]
  A)
                  \[\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\] done clear
  B)
                              \[\sqrt{{{A}^{2}}-{{B}^{2}}+2AB\cos \theta }\] done clear
  C)
                  \[\sqrt{{{A}^{2}}+{{B}^{2}}-2AB\sin \theta }\]     done clear
  D)
                  \[\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\sin \theta }\] done clear
  View Solution play_arrow

• question_answer22)
  Following sets of three forces act on a body. Whose resultant cannot be zero                                     [CPMT 1985]
  A)
                  10, 10, 10 done clear
  B)
                              10, 10, 20 done clear
  C)
                  10, 20, 23             done clear
  D)
                  10, 20, 40 done clear
  View Solution play_arrow

• question_answer23)
  When three forces of 50 N, 30 N and 15 N  act on a body, then the body is
  A)
                  At rest done clear
  B)
                              Moving with a uniform velocity done clear
  C)
                  In equilibrium    done clear
  D)
                  Moving with an acceleration done clear
  View Solution play_arrow

• question_answer24)
  The sum of two forces acting at a point is 16 N. If the resultant force is 8 N and its direction is perpendicular to minimum force then the forces are                             [CPMT 1997]
  A)
                  6 N and 10 N done clear
  B)
                              8 N and 8 N done clear
  C)
                  4 N and 12 N       done clear
  D)
                  2 N and 14 N done clear
  View Solution play_arrow

• question_answer25)
  If vectors P, Q and R have magnitude 5, 12 and 13 units and \[\overrightarrow{P}+\overrightarrow{Q}=\overrightarrow{R},\] the angle between Q and R is [CEET 1998]
  A)
                  \[{{\cos }^{-1}}\frac{5}{12}\] done clear
  B)
                                  \[{{\cos }^{-1}}\frac{5}{13}\] done clear
  C)
                  \[{{\cos }^{-1}}\frac{12}{13}\]     done clear
  D)
                  \[{{\cos }^{-1}}\frac{7}{13}\] done clear
  View Solution play_arrow

• question_answer26)
  The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is
  A)
                  \[\text{12}0{}^\circ \]    done clear
  B)
                  \[\text{15}0{}^\circ \] done clear
  C)
                  \[\text{135}{}^\circ \]    done clear
  D)
                  None of these done clear
  View Solution play_arrow

• question_answer27)
  What vector must be added to the two vectors \[\hat{i}-2\hat{j}+2\hat{k}\] and \[2\hat{i}+\hat{j}-\hat{k},\] so that the resultant may be a unit vector along     x-axis                                               [BHU 1990]
  A)
                  \[2\hat{i}+\hat{j}-\hat{k}\]         done clear
  B)
                  \[-2\hat{i}+\hat{j}-\hat{k}\] done clear
  C)
                  \[2\hat{i}-\hat{j}+\hat{k}\] done clear
  D)
                              \[-2\hat{i}-\hat{j}-\hat{k}\] done clear
  View Solution play_arrow

• question_answer28)
  What is the angle between \[\overrightarrow{P}\] and  the resultant of \[(\overrightarrow{P}+\overrightarrow{Q})\] and \[(\overrightarrow{P}-\overrightarrow{Q})\]
  A)
                  Zero       done clear
  B)
                  \[{{\tan }^{-1}}(P/Q)\] done clear
  C)
                  \[{{\tan }^{-1}}(Q/P)\]   done clear
  D)
                  \[{{\tan }^{-1}}(P-Q)/(P+Q)\] done clear
  View Solution play_arrow

• question_answer29)
  The resultant of \[\overrightarrow{P}\] and \[\overrightarrow{Q}\] is perpendicular to \[\overrightarrow{P}\]. What is the angle between \[\overrightarrow{P}\] and \[\overrightarrow{Q}\]
  A)
                  \[{{\cos }^{-1}}(P/Q)\] done clear
  B)
                              \[{{\cos }^{-1}}(-P/Q)\] done clear
  C)
                  \[{{\sin }^{-1}}\,(P/Q)\] done clear
  D)
                  \[{{\sin }^{-1}}\,(-P/Q)\] done clear
  View Solution play_arrow

• question_answer30)
  Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are in the ratio \[3:1.\]Which of the following relations is true
  A)
                  \[P=2Q\] done clear
  B)
                              \[P=Q\] done clear
  C)
                  \[PQ=1\]              done clear
  D)
                  None of these done clear
  View Solution play_arrow

• question_answer31)
  The resultant of two vectors \[\overrightarrow{P}\] and \[\overrightarrow{Q}\] is \[\overrightarrow{R}.\] If Q  is doubled, the new resultant is perpendicular to P. Then R equals
  A)
                  P             done clear
  B)
                  (P+Q) done clear
  C)
                  Q done clear
  D)
                  (P?Q) done clear
  View Solution play_arrow

• question_answer32)
  Two forces, \[{{F}_{1}}\] and  \[{{F}_{2}}\] are acting on a body. One force is double that of the other force and the resultant is equal to the greater force. Then the angle between the two forces is
  A)
                  \[{{\cos }^{-1}}(1/2)\] done clear
  B)
                              \[{{\cos }^{-1}}(-1/2)\] done clear
  C)
                  \[{{\cos }^{-1}}(-1/4)\]   done clear
  D)
                  \[{{\cos }^{-1}}(1/4)\] done clear
  View Solution play_arrow

• question_answer33)
  Given that \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\]and that \[\overrightarrow{C}\] is \[\bot \] to \[\overrightarrow{A}\]. Further if \[|\overrightarrow{A}|\,=\,|\overrightarrow{C}|,\]then what is the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\]
  A)
                  \[\frac{\pi }{4}radian\] done clear
  B)
                              \[\frac{\pi }{2}radian\] done clear
  C)
                  \[\frac{3\pi }{4}radian\] done clear
  D)
                  \[\pi \,\,radian\] done clear
  View Solution play_arrow

• question_answer34)
  A body is at rest under  the action of three forces, two of which are \[{{\vec{F}}_{1}}=4\hat{i},\,{{\vec{F}}_{2}}=6\hat{j},\]the third force is [AMU 1996]
  A)
                  \[4\hat{i}+6\hat{j}\] done clear
  B)
                              \[4\hat{i}-6\hat{j}\] done clear
  C)
                  \[-4\hat{i}+6\hat{j}\]     done clear
  D)
                  \[-4\hat{i}-6\hat{j}\] done clear
  View Solution play_arrow

• question_answer35)
  A plane is revolving around the earth with a speed of 100 km/hr at a constant height from the surface of earth. The change in the velocity as it travels half circle is                 [RPET 1998; KCET 2000]
  A)
                  200 km/hr done clear
  B)
                              150 km/hr done clear
  C)
                  \[100\,\sqrt{2}\,km/hr\] done clear
  D)
                              0 done clear
  View Solution play_arrow

• question_answer36)
  What displacement must be added to the displacement \[25\hat{i}-6\hat{j}\,\,m\] to give a displacement of 7.0 m pointing in the x- direction
  A)
                  \[18\hat{i}-6\hat{j}\] done clear
  B)
                              \[32\hat{i}-13\hat{j}\] done clear
  C)
                  \[-18\hat{i}+6\hat{j}\]   done clear
  D)
                  \[-25\hat{i}+13\hat{j}\] done clear
  View Solution play_arrow

• question_answer37)
  A body moves due East with velocity 20 km/hour and then due North with velocity 15 km/hour. The resultant velocity                                                 [AFMC 1995]
  A)
                  5 km/hour done clear
  B)
                              15 km/hour done clear
  C)
                  20 km/hour done clear
  D)
                              25 km/hour done clear
  View Solution play_arrow

• question_answer38)
   The magnitudes of vectors \[\vec{A},\,\vec{B}\]and\[\vec{C}\]are 3, 4 and 5 units respectively. If \[\vec{A}+\vec{B}=\vec{C}\], the angle between \[\vec{A}\]and \[\vec{B}\]is                                                                 [CBSE PMT 1990]
  A)
                  \[\frac{\pi }{2}\] done clear
  B)
                  \[{{\cos }^{-1}}(0.6)\] done clear
  C)
                  \[{{\tan }^{-1}}\left( \frac{7}{5} \right)\]                done clear
  D)
                  \[\frac{\pi }{4}\] done clear
  View Solution play_arrow

• question_answer39)
  While travelling from one station to another, a car travels 75 km North, 60 km North-east and 20 km East. The minimum distance between the two stations is                     [AFMC 1993]
  A)
                  72 km    done clear
  B)
                  112 km done clear
  C)
                  132 km done clear
  D)
                  155 km done clear
  View Solution play_arrow

• question_answer40)
  A scooter going due east at 10 ms?1 turns right through an angle of 90°. If the speed of the scooter remains unchanged in taking turn, the change is the velocity of the scooter is                                                 [BHU 1994]
  A)
                  \[\text{2}0.0m{{s}^{\text{1}}}\] south eastern direction done clear
  B)
                  Zero done clear
  C)
                  \[\text{1}0.0m{{s}^{\text{1}}}\] in southern direction done clear
  D)
                  \[\text{14}.\text{14}m{{s}^{\text{1}}}\] in south-west direction done clear
  View Solution play_arrow

• question_answer41)
  A person goes 10 km north and 20 km east. What will be displacement from initial point                                [AFMC 1994, 2003]
  A)
                  22.36 km done clear
  B)
                              2 km done clear
  C)
                  5 km      done clear
  D)
                  20 km done clear
  View Solution play_arrow

• question_answer42)
  Two forces \[{{\vec{F}}_{1}}=5\hat{i}+10\hat{j}-20\hat{k}\]and \[{{\vec{F}}_{2}}=10\hat{i}-5\hat{j}-15\hat{k}\] act on a single point. The angle between \[{{\vec{F}}_{1}}\]and \[{{\vec{F}}_{2}}\] is nearly                                      [AMU 1995]
  A)
                  \[\text{3}0{}^\circ \]       done clear
  B)
                  \[\text{45}{}^\circ \] done clear
  C)
                  \[\text{6}0{}^\circ \]       done clear
  D)
                  \[\text{9}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer43)
  Which pair of the following forces will never give resultant force of 2 N                                  [HP PMT 1999]
  A)
                  2 N and 2 N         done clear
  B)
                  1 N and 1 N done clear
  C)
                  1 N and 3 N         done clear
  D)
                  1 N and 4 N done clear
  View Solution play_arrow

• question_answer44)
  Two forces 3N and 2 N are at an angle q such that the resultant is R. The first force is now increased to 6N and the resultant become 2R. The value of q is   [HP PMT 2000]
  A)
                  \[\text{3}0{}^\circ \]       done clear
  B)
                  \[\text{6}0{}^\circ \] done clear
  C)
                  \[\text{9}0{}^\circ \]       done clear
  D)
                  \[\text{12}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer45)
  Three concurrent forces of the same magnitude are in equilibrium. What is the angle between the forces? Also name the triangle formed by the forces as sides                                                                                            [JIPMER 2000]
  A)
                  \[\text{6}0{}^\circ \] equilateral triangle                done clear
  B)
                  \[\text{12}0{}^\circ \] equilateral triangle  done clear
  C)
                  \[\text{12}0{}^\circ \], \[\text{3}0{}^\circ \], \[\text{3}0{}^\circ \] an isosceles triangle done clear
  D)
                  \[\text{12}0{}^\circ \] an obtuse angled triangle done clear
  View Solution play_arrow

• question_answer46)
  If \[|\,\vec{A}+\vec{B}\,|\,=\,|\,\vec{A}\,|+|\,\vec{B}\,|\], then angle between \[\vec{A}\]and \[\vec{B}\] will be                                                 [CBSE PMT 2001]
  A)
                  \[\text{9}0{}^\circ \]       done clear
  B)
                  \[\text{12}0{}^\circ \] done clear
  C)
                  \[0{}^\circ \]       done clear
  D)
                  \[\text{6}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer47)
  The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is [Kerala CET (Engg.) 2000]
  A)
                  14 done clear
  B)
                              16 done clear
  C)
                  18           done clear
  D)
                  13 done clear
  View Solution play_arrow

• question_answer48)
  The vector sum of two forces is perpendicular to their vector differences. In that case, the forces               [CBSE PMT 2003]
  A)
                  Are equal to each other in magnitude done clear
  B)
                  Are not equal to each other in magnitude done clear
  C)
                  Cannot be predicted      done clear
  D)
                  Are equal to each other done clear
  View Solution play_arrow

• question_answer49)
  y component of velocity is 20 and x component of velocity is 10. The direction of motion of the body with the horizontal at this instant is                                 [Manipal 2003]
  A)
                  \[{{\tan }^{-1}}(2)\] done clear
  B)
                              \[{{\tan }^{-1}}(1/2)\] done clear
  C)
                  45°          done clear
  D)
                  0° done clear
  View Solution play_arrow

• question_answer50)
  Two forces of 12 N and 8 N act upon a body. The resultant force on the body has maximum value of       [Manipal 2003]
  A)
                  4 N         done clear
  B)
                  0 N done clear
  C)
                  20 N       done clear
  D)
                  8 N done clear
  View Solution play_arrow

• question_answer51)
  Two equal forces (P each) act at a point inclined to each other at an angle of 120°. The magnitude of their resultant is                                                  [Karnataka CET 2004]
  A)
                  \[P/2\]  done clear
  B)
                  \[P/4\] done clear
  C)
                  \[P\]      done clear
  D)
                  2P done clear
  View Solution play_arrow

• question_answer52)
  The vectors \[5i+8j\]and\[2i+7j\]are added. The magnitude of the sum of these vector is                                             [BHU 2000]
  A)
                  \[\sqrt{274}\] done clear
  B)
                  38 done clear
  C)
                  238         done clear
  D)
                  560 done clear
  View Solution play_arrow

• question_answer53)
  Two vectors \[\vec{A}\,\text{ and }\vec{B}\] are such that \[\vec{A}+\vec{B}=\vec{A}-\vec{B}\].  Then                                                 [AMU (Med.) 2000]
  A)
                   \[\vec{A}\,.\,\vec{B}=0\]            done clear
  B)
                  \[\vec{A}\times \vec{B}=0\] done clear
  C)
                  \[\vec{A}=0\]    done clear
  D)
                  \[\overrightarrow{B}=0\] done clear
  View Solution play_arrow