For a vector of magnitude $V$ making an angle $\theta$ with the positive x-axis, its rectangular components are
A$v_x = V\sin\theta,\; v_y = V\cos\theta$
B$v_x = V\cos\theta,\; v_y = V\sin\theta$
C$v_x = V\tan\theta,\; v_y = V\cot\theta$
D$v_x = V,\; v_y = 0$
Answer & Solution
Correct answer: B. $v_x = V\cos\theta,\; v_y = V\sin\theta$
From the right triangle formed by the vector and its components, the horizontal component is $V\cos\theta$ and the vertical component is $V\sin\theta$. This is exactly the relation given in the notes.
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