Q.

(Diagram) Figure shows the orientation of two vectors u and v in the XY plane If u→=ai^+bj^and  v→=pi^+qj^which of the following is correct ?

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a

a and p are positive while b and q are negative

b

a, p and b are positive while q is negative

c

a, q and b are positive while p is negative

d

a, b, p and q are all positive

answer is B.

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Detailed Solution

If we resolve u→ and v→ along x-axis and y-axis it is clear that x and y components of u→ are both directed along positive x-axis and positive y-axis respectively and hence 'a' and 'b' both are positive. Where as x and y components of v→ are both directed along positive x-axis and negative y-axis respectively. Hence 'p' is positive and 'q' is negative.
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