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question_answer1)
Assertion : \[\vec{A}\times \vec{B}\] is perpendicular to both \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}.\] Reason : \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}\] lie in the plane containing \[\vec{A}\] and \[\vec{B}\], but \[\vec{A}\times \vec{B}\] lies perpendicular to the plane containing \[\vec{A}\] and \[\vec{B}.\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer2)
Assertion : Angle between \[\hat{i}+\hat{j}\text{ and }\hat{i}\] is 45° Reason : \[\hat{i}+\hat{j}\text{ }\]is equally inclined to both \[\hat{i}\] and \[\hat{j}\text{ }\]and the angle between \[\hat{i}\] and \[\hat{j}\text{ }\]is 90°
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer3)
Assertion : If q be the angle between \[\vec{A}\] and \[\vec{B}\], then \[\tan \theta =\frac{\vec{A}\times \vec{B}}{\vec{A}.\vec{B}}\] Reason : \[\vec{A}\times \vec{B}\] is perpendicular to \[\vec{A}.\vec{B}\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer4)
Assertion : If \[|\vec{A}+\vec{B}|\ =\ |\vec{A}-\vec{B}|\], then angle between \[\vec{A}\] and \[\vec{B}\] is 90° Reason : \[\vec{A}+\vec{B}\ =\ \vec{B}+\vec{A}\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer5)
Assertion : Vector product of two vectors is an axial vector Reason : If \[\vec{v}\] = instantaneous velocity, \[\vec{r}\]= radius vector and \[\vec{\omega }\] = angular velocity, then \[\vec{\omega }=\vec{v}\times \vec{r}.\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer6)
Assertion : Minimum number of non-equal vectors in a plane required to give zero resultant is three. Reason : If \[\vec{A}+\vec{B}+\vec{C}=\vec{0},\]then they must lie in one plane
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer7)
Assertion : Relative velocity of A w.r.t. B is greater than the velocity of either, when they are moving in opposite directions. Reason : Relative velocity of A w.r.t. \[B={{\vec{v}}_{A}}-{{\vec{v}}_{B}}\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer8)
Assertion : Vector addition of two vectors \[\vec{A}\] and \[\vec{B}\] is commutative. Reason : \[\vec{A}+\vec{B}=\vec{B}+\vec{A}\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer9)
Assertion : \[\vec{A}.\vec{B}=\vec{B}.\vec{A}\] Reason : Dot product of two vectors is commutative.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer10)
Assertion : \[\vec{\tau }=\vec{r}\times \vec{F}\text{ and}\vec{\tau }\ne \vec{F}\times \text{ }\vec{r}\] Reason : Cross product of vectors is commutative.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer11)
Assertion : A negative acceleration of a body is associated with a slowing down of a body. Reason : Acceleration is vector quantity.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer12)
Assertion : A physical quantity cannot be called as a vector if its magnitude is zero. Reason : A vector has both, magnitude and direction.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer13)
Assertion : The sum of two vectors can be zero. Reason : The vector cancel each other, when they are equal and opposite.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer14)
Assertion : Two vectors are said to be like vectors if they have same direction but different magnitude. Reason : Vector quantities do not have specific direction.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer15)
Assertion : The scalar product of two vectors can be zero. Reason : If two vectors are perpendicular to each other, their scalar product will be zero.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer16)
Assertion : Multiplying any vector by an scalar is a meaningful operations. Reason : In uniform motion speed remains constant.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer17)
Assertion : A null vector is a vector whose magnitude is zero and direction is arbitrary. Reason : A null vector does not exist.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer18)
Assertion : If dot product and cross product of \[\vec{A}\] and \[\vec{B}\] are zero, it implies that one of the vector \[\vec{A}\] and \[\vec{B}\] must be a null vector. Reason : Null vector is a vector with zero magnitude.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer19)
Assertion : The cross product of a vector with itself is a null vector. Reason : The cross-product of two vectors results in a vector quantity.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer20)
Assertion : The minimum number of non coplanar vectors whose sum can be zero, is four. Reason : The resultant of two vectors of unequal magnitude can be zero.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer21)
Assertion : If \[\vec{A}.\vec{B}=\vec{B}.\vec{C},\]then \[\vec{A}\] may not always be equal to \[\vec{C}\] Reason : The dot product of two vectors involves cosine of the angle between the two vectors.
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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question_answer22)
Assertion : Vector addition is commutative. Reason : \[(\vec{A}+\vec{B})\ne (\vec{B}+\vec{A}).\]
A)
If both assertion and reason are true and the reason is the correct explanation of the assertion. done
clear
B)
If both assertion and reason are true but reason is not the correct explanation of the assertion. done
clear
C)
If assertion is true but reason is false. done
clear
D)
If the assertion and reason both are false. done
clear
E)
If assertion is false but reason is true. done
clear
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