Question

If a,b,c are perpendicualr vectors then prove that [a.(b*c)]2=a2b2c2

Answer 1

hey there is answer !!

I hope you help !!


Dear Student,

Please find below the solution to the asked query :
∣∣a×b∣∣2+(a.b)2=[∣∣a∣∣∣∣b∣∣sinθηˆ]2+[∣∣a∣∣∣∣b∣∣cosθ]2=∣∣a∣∣2∣∣b∣∣2[sin2θ+cos2θ]   [Sinceηˆ2=1 ]=∣∣a∣∣2∣∣b∣∣2Proved.

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