Vectors Physics Example 2

Solution

1. 1
   Components of $\vec{A}$: $A_x = 5$, $A_y = 0$. Components of $\vec{B}$: $B_x = 0$, $B_y = 8$.
2. 2
   Resultant components: $R_x = 5 + 0 = 5$, $R_y = 0 + 8 = 8$.
3. 3
   Magnitude: $|\vec{R}| = \sqrt{25 + 64} = \sqrt{89} \approx 9.43 \text{ m}$.
4. 4
   Direction: $\theta = \tan^{-1}(8/5) \approx 58°$ north of east.