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In the previous module, we learnt that a vector $$\vec{A}$$ with magnitude $$5$$ and an angle of $$37^{\circ}$$ has an x-component

$$A_x = 5 \cos 37 = 4$$

and a y-component

$$A_y = 5 \sin 37 = 3$$

This is represented as

$$\vec{A} = A_x \hat{i} + A_y \hat{j}$$