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Write the projection of vec(b) + vec(c )...

Write the projection of `vec(b) + vec(c )` on `vec(a)`, where `vec(a) = 2hat(i) - 2hat(j) + hat(k), vec(b) = hat(i) + 2hat(j) - 2hat(k)` and `vec(c ) = 2hat(i) - hat(j) + 4hat(k)`.

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