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The vector a=alpha hati+2hatj+betahatk lies in the plane of the vectors b=hati+hatj and c = hatj+hatk and bisects the angle between b and c. Then, which one of the following gives possible value of alpha and beta? |
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Answer» `alpha=1, beta=1` `implies |(alpha,2,beta),(1,1,0),(0,1,1)|=0` `implies alpha (1-0)-2(1-0)+beta (1-0)=0` `implies alpha +beta =2` which is POSSIBLE for `alpha=1, beta =1`. |
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