Mathematics

Problem

Three vectors are

\mathbf{A}=2\hat{i}-3\hat{j}

\mathbf{B}=-4\hat{i}+5\hat{j}

and

\mathbf{C}=\tfrac{1}{2}\hat{i}-\tfrac{7}{2}\hat{j}

. After adding them, in which of the following directions (measured anticlockwise from the positive

x

-axis) does the resultant vector point? a)

135^{\circ}

225^{\circ}

315^{\circ}

45^{\circ}