Calculate the area of the parallelogram determined by the vectors and .

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

Problem

Calculate the area of the parallelogram determined by the vectors

\mathbf{u}=3\mathbf{i}+2\mathbf{j}-\mathbf{k}

and

\mathbf{v}=2\mathbf{i}-\mathbf{j}+4\mathbf{k}

. (a)

\dfrac{7\sqrt{6}}{2}

(b)

3\sqrt{22}

(c)

7\sqrt{6}

(d)

14\sqrt{6}