Consider the vectors and .

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

Problem

Consider the vectors

\mathbf{p}=(k,4,-2)

and

\mathbf{q}=(-3,-12,6)

. (a) Find all

k\in\mathbb{R}

such that

\mathbf{p}

and

\mathbf{q}

are parallel. (b) For each permissible

k

, express

\mathbf{q}=\lambda\mathbf{p}

and then obtain a unit vector in the common direction.