For non-zero vectors and in

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

Problem

For non-zero vectors

\mathbf{a}

and

\mathbf{b}

\mathbb{R}^3

, which of the following is the correct condition for

\mathbf{a}

and

\mathbf{b}

to be parallel? (a)

\mathbf{a}\cdot\mathbf{b}=0

(b)

\displaystyle \frac{\mathbf a}{|\mathbf a|}=\frac{\mathbf b}{|\mathbf b|}

(c)

\mathbf{a}\times\mathbf{b}=\mathbf{0}

(d)

|\mathbf a\times\mathbf b|=|\mathbf a|\,|\mathbf b|