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Express 2 hat i- hat j+3 hat k as ...

Express `2 hat i- hat j+3 hat k` as the sum of a vector parallel and a vector perpendicular to `2 hat i+4 hat j-2 hat kdot`

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Express 2 hat i- hat j+3 hat k as the sum of vector parallel and a vector perpendicular to 2 hat i+4 hat j-2 hat kdot

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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) .