Question:

Vector $\vec{V} \!_1$ is 6.6 units long and points along the negative x axis. Vector $\vec{V} \!_2$ is 8.5 units long and points at $+55^\circ$ to the positive x axis.

- What are the x and y components of each vector?
- Determine the sum $\vec{V} \!_1 + \vec{V} \!_2$ (magnitude and angle).

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer:

- $V_{1_x} = -6.6, V_{1_y} = 0, V_{2_x} = 4.9, V_{2_y} = 7.0$
- $\vec{V}=7.2 \textrm{ units } 76^\circ \textrm{ above neg. x-axis}$