Question
Find the component form of the vector $v$ whose magnitude and direction angle $\theta$ are given.$$\|\mathbf{v}\|=5, \theta=30^{\circ}$$
Step 1
The formulas are as follows: $$v_x = \|v\| \cos(\theta)$$ $$v_y = \|v\| \sin(\theta)$$ where $v_x$ and $v_y$ are the x and y components of the vector, $\|v\|$ is the magnitude of the vector, and $\theta$ is the direction angle. Show more…
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