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Let vec a=5hat i -hat j -3hat k and vec ...

Let `vec a=5hat i -hat j -3hat k `and `vec b =hat i +3hat j +5hat k` be two vectors. Then which one of the following statements is TRUE ?

A

Projection of `vec a` on `vec b` is `(17)/(sqrt 35)` and the direction of the projection vector is same as of `vec b` .

B

Projection of `vec a` on `vec b` is `(17)/(sqrt35)` and the direction of the projection vector is opposite to the direction of `vec b `.

C

Projection of `vec a` on `vec b` is `(-17)/(sqrt 35)` and the direction of the projection vector is same as of ` vec b` .

D

Projection of `vec a` on `vec b` is `(-17)/(sqrt35)` and the direction of the projection vector is opposite to the direction of `vec b`.

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