2.3 Exercise 4

For vectors $\overset{\rightarrow}{B} = − \hat{i} - 4 \hat{j}$ and $\overset{\rightarrow}{A} = −3 \hat{i} - 2 \hat{j}$, calculate (a) $\overset{\rightarrow}{A} + \overset{\rightarrow}{B}$ and its magnitude and direction angle, and (b) $\overset{\rightarrow}{A} - \overset{\rightarrow}{B}$ and its magnitude and direction angle.