Question
Write the vector $\mathbf{v}$ in the form $a \mathbf{i}+b \mathbf{j},$ given its magnitude $\|\mathbf{v}\|$ and the angle $\alpha$ it makes with the positive $x$ -axis.$$\| \mathbf{v} \|=14, \quad \alpha=120^{\circ}$$
Step 1
Step 1: We are given the magnitude of the vector $\mathbf{v}$ as $\|\mathbf{v}\|=14$ and the angle it makes with the positive x-axis as $\alpha=120^{\circ}$. Show more…
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Write the vector $\mathbf{v}$ in the form $a \mathbf{i}+b \mathbf{j},$ given its magnitude $\|\mathbf{v}\|$ and the angle $\alpha$ it makes with the positive $x$ -axis. $$\|\mathbf{v}\|=15, \quad \alpha=315^{\circ}$$
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