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Figure 2 (EP). 13 shows the orientation of two vectors ` vec u` and `vec v` in the (XY) plane. If ` vec u = a hat i + b hat j` and ` vec v = p hat i+ q hat j` which of the following is correct ? .A. a and p are positive while b and q are negativeB. a,p and b are positive while q is negativeC. a, q and b are positive while p is negativeD. a, b, p and q are all positive

Answer» Correct Answer - B
Clearly from the diagram, `u=a hat(i) + b hat(j)`
As u is in the first quadrant, hence 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 hence x-component p will be positive and y-component q will be negative.


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