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Figure shows the orientation of two vectors u and v in the xy-plane. If $u = a\hat{i} + b\hat{j}$ and $v = p\hat{i} + q\hat{j}$, Which of the following is correct? [add image]
Explanation
From the diagram, $u = a\hat{i} + b\hat{j}$ As u is in the first quadrant, so both components a and b. will be positive. For $v = p\hat{i} + q\hat{j}$, as it is in positive x-direction and located downward so x-component p will be positive and y component q will be negative. Hence, a, b and p are positive but q is negative.