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Let veca = alpha hati + 3hatj - hatk, v...

Let `veca = alpha hati + 3hatj - hatk, vecb = 3hati - betahatj + 4hatk` and `vecc = hati + 2hatj - 2hatk` where `alpha, beta in R`, be three vectors. If the projection of `veca` on `vecc` is `10/3` and `vecb xx vecc = -6hati + 10 hatj + 7hatk` then the value of `alpha+beta` is equal to :

A

3

B

4

C

5

D

6

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