Vectors and are parallel for certain real values of

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Vectors

\mathbf{u}=\hat{i}+k\hat{j}+3\hat{k}

and

\mathbf{v}=k\hat{i}+4\hat{j}+3k\hat{k}

are parallel for certain real values of

k

. Determine those values of

k

. (a)

k=2

only (b)

k=\pm 2

(c)

k=0

only (d)

k=1

only