two vectors P and Q has a sum of 18 and their resultant is 12 . The resultant is perpendicular to the smaller of the two vectors . Find the value of P and Q and angle between them
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P⃗ ⋅(P⃗ +Q⃗ )=0
⟹P2+PQcosθ=0
⟹cosθ=−PQ
⟹θ=arccos(−PQ)
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