are three unit vectors and every two are inclined to each …

Maths Vector Algebra Scalar or Dot Product of Two Vectors and its Applications Numeric Response

Published on: August 14, 2026

are three unit vectors and every two are inclined to each other at an angle cos –1 (3/5). If , where p, q, r are scalars, then 55q 2 is equal to

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The correct answer is:

Ans. 9

Sol.

taking dot product with &

0 = ……..(i)

0 = p + q + r …..…(ii)

= p + q + r …… .(iii)

from (i), (ii) and (iii)

= q

q 2 ⇒ 55q 2 = 9

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