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If veca=hati+hatj+hatk, hatb4hati+3hatj+...

If `veca=hati+hatj+hatk, hatb4hati+3hatj+4hatk and vecc=hati+alphahatj+beta hatk` are linearly dependent vectors and `|vecc|=sqrt(3)` then (A) `alpha=1, beta=-1` (B) `alpha=1,beta=+-1` (C) `alpha-1,beta=+-1` (D) `alpha=+-1,beta=1`

A

`alpha = 1 , beta = -1`

B

`alpha = 1, beta = pm 1`

C

`alpha = -1 , beta = pm 1`

D

`alpha = pm1 , beta = 1`

Text Solution

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The correct Answer is:
D
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