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Let vec(A)=4hat(i)+5hat(j)-hat(k), vec(b...

Let `vec(A)=4hat(i)+5hat(j)-hat(k), vec(b)=hat(i)-4hat(j)+5hat(k)` and `vec(c) =3hat(i)+hat(j)-hat(k)`. Find a vector `vec(d)` which is perpendicular to both `vec(a)` and `vec(b)`, and is such that `vec(d). Vec(c)=21`.

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