Given vec(a)=3hati+2hatj+4hatk,vec(b)=2(...

Given `vec(a)=3hati+2hatj+4hatk,vec(b)=2(hati+hatk)` and `vec( c )=4hati+2hatj+3hatk`. Find for what number of distinct values of `alpha` the equation `x vec(a)+y vec(b)+z vec( c )=alpha(x hati+y hatj+z hatk)` has non-trival solution (x, y, z).

A

-1

B

4

C

7

D

8

Verified by Experts

The correct Answer is:

C

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