Multivariable Calculus: Decompose the vector u = (2,2,1) as sum of vectors parallel and perpendicular to v = (1,1,1). The key step is to derive the formula for the parallel direction: u_par = proj_v(u) = (u dot v)/||v||^2 v. For more videos like this one, please visit the Multivariable Calculus playlist at my channel.
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