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If vec(a)=2hat(i)-hat(j)+hat(k), vec(b)=...

If `vec(a)=2hat(i)-hat(j)+hat(k), vec(b)=hat(i)+3hat(j)-hat(k), vec(c )=-2hat(i)+hat(j)-3hat(k)` and `vec(d)=3hat(i)+2hat(j)+5hat(k)`, find the scalars `alpha, beta` and `gamma` such that `vec(d)=alpha vec(a)+beta vec(b)+gamma vec(c )`.

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