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The wind is blowing at $22\ miles\ per \ hour$ in the direction of $\text{S}45^o\text{W}$.

Express its velocity as a vector $\mathbf{v}$ in terms of $\mathbf{i}$ and $\mathbf{j}$.

A

$ = 22\sqrt{2} \mathbf{i}+22\sqrt{2} \mathbf{j}$

B

$ = 11\sqrt{2} \mathbf{i}+11\sqrt{2} \mathbf{j}$

C

$ = -22\sqrt{2} \mathbf{i}-22\sqrt{2} \mathbf{j}$

D

$ = -11\sqrt{2} \mathbf{i}-11\sqrt{2} \mathbf{j}$

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