The sum of two vectors and is at right angles to their difference

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The sum of two vectors

\mathbf{a}

and

\mathbf{b}

is at right angles to their difference. Then (1)

A = B

(2)

A = 2B

(3)

B = 2A

(4)

\mathbf{A}

and

\mathbf{B}

have the same direction