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Question

Given that A+B+C=0 , out of three vectors two are equal in magnitude and the magnitude of third vector is 2 times that of either of two having equal magnitude. Then angle between vectors are given by

A
30,60,90
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B
45,135,150
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C
90,135,150
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D
90,135,135
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Solution

The correct option is D 90,135,135
Applingsineruleinthetriangle,Asinα=Bsinβ=Csinγor,Asinα=Csinγor,Asinα=A2sin{1800(α+α)}or,1sinα=2sin2αor,1sinα=22sin2αcosαor,cosα=12or,α=450α=β=450andγ=18002(450)hencewehave,anglebetweenAandB=1800γ=900anglebetweenBandC=1800α=1350anglebetweenCandA=1800β=1350
Hence,
option (D) is correct answer.

1237628_1403223_ans_895c3fe2364a44c1a6b310ebb441357b.JPG

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