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Find the component of the vector vec(b) ...

Find the component of the vector `vec(b) = 8hat(i) + hat(j)` in the direction of the vector `vec(a) = hat(i) + 2hat(j) - 2hat(k)`.

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Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors parallel and perpendicular to the vector vec(a) = hat(i) + hat(j) .

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