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Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(...

Let `vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k)` and `vec(c)=2hat(i)-hat(j)+4hat(k)`. Find a vector `vec(p)` which is perpendicular to both `vec(a)` and `vec(b)` and `vec(p). vec(c)=18`.

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