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Question: the orthogonal projection of a onto b is the vector...

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The orthogonal projection of a onto b is the vector orthba = a-projba . For each pair of vectors below, draw a, b, projba, and orthba on the same set of axes.
(a) a=〈1,2〉,b=〈6,1〉
(b) a=〈6,1〉,b=〈1,2〉
(c) a=〈−2,3〉,b=〈6,1〉

If a and b are both nonzero vectors, under what circumstances is projab = projba ?

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