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The vectors vec a = alpha i +2j+betak li...

The vectors `vec a = alpha i +2j+betak` lies in the plane of the vectors `vec b = i+j` and `vec c = j+k` and `vec a` bisects the angle between `vec b` and `vec c`. Then, which one of the following gives the possible values of `alpha` and `beta`?

A

`alpha = 2, beta = 2`

B

`alpha = 1, beta =2`

C

`alpha = 2, beta = 1`

D

`alpha =1, beta =1`

Text Solution

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The correct Answer is:
D
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