1.

If with reference to the right handed system of mutually perpendicular unit vectors hati,hatj and hatk,vec(alpha)=3hati-hatj,vec(beta)=2hati+hatj-3hatk, then express vec(beta) in the form vec(beta)=vec(beta)_(1)+vec(beta)_(2), where vec(beta)_(1) is parallel to vec(alpha) and vec(beta)_(2) is perpendicular to vec(alpha).

Answer»


ANSWER :`vec(beta)_(1)=(3)/(2)hati-(1)/(2)HATJ` and `vec(beta)_(2)=(1)/(2)hati+(3)/(2)hatj-3hatk`


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