1.

Let ` veca , vecb , vecc` be unit vectors such that ` veca .vecb =0=veca.vecc` . If the angle between `vecb and vecc " is " pi/6 , " then " veca ` equalsA. ` +- 2(vecb xx vecc)`B. ` 2(vecb xx vecc)`C. ` +- 1/2(vecb xx vecc)`D. ` - 1/2 (vecb xx vecc)`

Answer» Correct Answer - A
we have ,
` veca.vecb= veca.vecc = vec0`
` Rightarrow veca bot vecb, veca bot vecc`
` Rightarrow veca || (vecb xx vecc)`
` Rightarrow veca = +- (vecb xx vecc)/(|vecb xx vecc|) =+- (|vecb xx vecc|)/(|vecb||vecc| sin pi/3) = +- 2 ( vecb xx vecc)`


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