Let vec a=3hat i+2hat j+4hat k, vec b=2(...

Let `vec a=3hat i+2hat j+4hat k, vec b=2(hat i+hat k)` and `vec c=4hat i+2hat j+3hat k` .Sum of the values of `alpha` for which the equation `xvec a+yvec b+zvec c=alpha(xhat i+yhat j+zhat k)` has non-trivial solution is:

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