Two non-zero vectors and satisfy

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Two non-zero vectors

\mathbf{p}

and

\mathbf{q}

satisfy

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

. Which of the following must be true? (a) At least one of

\mathbf{p}

\mathbf{q}

\mathbf{0}

(b)

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

(c)

\mathbf{p}

and

\mathbf{q}

are perpendicular (d)

\mathbf{p}

and

\mathbf{q}

are parallel