CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\vec p = (a+1)\hat i + 2\hat j - 3\hat k

and

\vec q = 2\hat i + (a-2)\hat j + 6\hat k

. (i) Find the value of

a

for which

\vec p

is perpendicular to

\vec q

. (ii) For this value of

a

, calculate the magnitude of

\vec p \times \vec q

.

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