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

a=1, b=1

B

a=2, b=2

C

a=1, b=2

D

a=2, b=1

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The correct Answer is:

A

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