12th Class Mathematics Vector Algebra

  • question_answer 43)
    Show that the vectors  and  form the vertices of a right angled triangle.

    Answer:

    Let the position vectors of vertices A, B and C be        and .                 of point B ? P.V. of point A                   point C ? P.V. or point B                   of point A ? P.V. of point C                                           A, B, C are vertices of       Also       = 2 × (?1) + (?1) × 3 + 1 × 3             = ?2 ?3 + 5 = 0              ABC is right angled triangle.    


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