2.3 Exercise 6

Given two displacement vectors $\overset{\rightarrow}{A} = \left(3.00 \hat{i} - 4.00 \hat{j} + 4.00 \hat{k}\right) \text{m}$ and $\overset{\rightarrow}{B} = \left(2.00 \hat{i} + 3.00 \hat{j} - 7.00 \hat{k}\right) \text{m}$, find the displacements and their magnitudes for (a) $\overset{\rightarrow}{C} = \overset{\rightarrow}{A} + \overset{\rightarrow}{B}$ and (b) $\overset{\rightarrow}{D} = 2 \overset{\rightarrow}{A} - \overset{\rightarrow}{B}$.