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If a=hati+hatj+hatk, b=4hati+3hatj+4hatk...

If `a=hati+hatj+hatk, b=4hati+3hatj+4hatkandc=hati+alphahatj+betahatk` are coplanar and `|c|=sqrt(3)`, then a)`alpha=sqrt(2),beta=1` b)`alpha=1,beta=+-1` c)`alpha=+-1,beta=1`d)`alpha=+-1,beta=-1`

A

`alpha=sqrt(2),beta=1`

B

`alpha=1,beta=+-1`

C

`alpha=+-1,beta=1`

D

`alpha=+-1,beta=-1`

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The correct Answer is:
A
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