How do I find the orthogonal projection of two vectors?

1 Answer
bp
May 3, 2015

The question perhaps is about projection of some vecb on another veca in the same vector space. If this projection is vector vecp, then set the vector dot product veca and (vecb-vecp) equal to 0, because veca and vecb-vecp would be orthogonal.

Since vecp is along veca, it would be some multiple of veca. let it be x

Thus veca. (vecb-xveca)=0, x= (veca.vecb)/(|a||a|)

Hence vecp= x veca =(veca.vecb)/(|a||a|) veca

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