Identify the geometrical quantity represented by

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

Problem

\lvert \mathbf{a}\times \mathbf{b} \rvert

, where

\mathbf{a}

and

\mathbf{b}

are non-collinear vectors. (a) Area of the triangle formed by

\mathbf a

and

\mathbf b

(b) Area of the rectangle having side lengths

|\mathbf a|

and

|\mathbf b|

\mathbf a

and

\mathbf b

as adjacent sides (d) Area of the parallelogram with sides

2\mathbf a

and

\mathbf b