Let a be a real number and vec alpha = h...

Let a be a real number and `vec alpha = hati +2hatj, vec beta=2hati+a hatj+10 hatk, vec gamma=12hati+20hati+a hatk` be three vectors, then `vec alpha, vec beta and vec gamma` are linearly independent for :

A

`a gt 0`

B

`a lt 0`

C

`a=0`

D

No value of a

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A, B, C

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