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Q.

The resultant of two vectors P→ and Q→ is R→.  What happen to the new resultant vector is perpendicular to P→⋅R→, when Q→ is doubled.

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a

P2−Q22PQ

b

Q

c

PQ

d

p+Qp−Q

answer is B.

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Detailed Solution

P→⋅(P→+2Q→)=0⇒P2+2PQcosθ=0cosθ=−P2Q ∴R=P2+Q2+2PQcosθ=Q
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