Mathematics

Problem

Two vectors satisfy

\mathbf{A}+\mathbf{B}=\mathbf{R}

where

\mathbf{R}=7\hat{i}-2\hat{j}

. Vector

\mathbf{A}

has magnitude

5\,\text{units}

and is directed

60^{\circ}

above the positive

x

-axis. Find the components of vector

\mathbf{B}