If vec(alpha)=2hat(i)-5hat(j)+4hat(k) " ...

If `vec(alpha)=2hat(i)-5hat(j)+4hat(k) " and " vec(beta)=hat(i)-4hat(j)+6hat(k), " find " (2vec(alpha)-vec(beta))`. Also find a unit vector in the direction of the vector `(2vec(alpha)-vec(beta))`.

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The correct Answer is:

3hat(i)-6hat(j)+2hat(k) " and " 1/7(3hat(i)-6hat(j)+2hat(k))`

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