The length of longer diagonal of the parallelogram constructed on and

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

Problem

The length of longer diagonal of the parallelogram constructed on

5\mathbf{a}+2\mathbf{b}

and

\mathbf{a}-3\mathbf{b}

, when it is given that

|\mathbf{a}|=2\sqrt{2}

|\mathbf{b}|=3

and angle between

\mathbf{a}

and

\mathbf{b}

\frac{\pi}{4}

, is (1) 15 (2)

\sqrt{113}

(3)

\sqrt{593}

(4)

\sqrt{369}