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The vectors a=alphahat(i)+2hat(j)+betaha...

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

A

`alpha=1, beta=1`

B

`alpha=2, beta=2`

C

`alpha=1, beta=2`

D

`alpha=2, beta=1`

Text Solution

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The correct Answer is:
A
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