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Question

What is the angle between P and the resultant of (P+Q) and (PQ)?

A
tan1|(PQ)||P+Q|
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B
tan1(Q/P)
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C
tan1(P/Q)
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D
zero
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Solution

The correct option is D zero
Step 1: Resultant Calculation
Let the resultant be R
R=(P+Q)+(PQ)
R=2P ....(1)

Step 2: Angle between R and P
From (1) we can say that, R is in same direction along P with twice its magnitude. Thus,R and P are parallel.
Therefore, the angle between R and P is zero.

Hence, Option D is correct

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