Question
Find the component form of the vector $v$ whose magnitude and direction angle $\theta$ are given.$$\|\mathbf{v}\|=6, \theta=40^{\circ}$$
Step 1
Step 1: The component form of a vector $\mathbf{v}$ with magnitude $\|\mathbf{v}\|$ and direction angle $\theta$ is given by $\|\mathbf{v}\|\cos\theta$ and $\|\mathbf{v}\|\sin\theta$ for the x and y components respectively. Show more…
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