Dot Products And Orthogonality

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The dot product of two vectors x , y in R n is

x · y = GKKI x 1 x 2 ... x n HLLJ · GKKI y 1 y 2 ... y n HLLJ = x 1 y 1 + x 2 y 2 + ··· + x n y n .

Thinking of x , y as column vectors, this is the same as x T y .