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If a = i +j + k, b = 4i + 3j + 4k and c ...

If `a = i +j + k, b = 4i + 3j + 4k and c = i + alphaj + betak` are linearly dependent vectors and `|c| = sqrt(3)` , then

A

`alpha=1, beta= -1`

B

`alpha= 1, beta = pm 1`

C

`alpha= -1, beta= pm 1`

D

`alpha= pm 1, beta= 1`

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The correct Answer is:
D
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