Consider two non-zero vectors and with and

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

Problem

Consider two non-zero vectors

\mathbf{p}

and

\mathbf{q}

with

\mathbf{p}\cdot\mathbf{q}<0

and

\mathbf{p}\times\mathbf{q}\neq\mathbf{0}

. Which one of the following statements is correct about the angle

\theta

between

\mathbf{p}

and

\mathbf{q}

? (a)

0^{\circ}<\theta<90^{\circ}

(b)

\theta=90^{\circ}

(c)

90^{\circ}<\theta<180^{\circ}

(d)

\theta=180^{\circ}