# Orthogonal Transformation and condition

by eoghan
Tags: condition, orthogonal, transformation
 P: 167 Hi there! In order to proof the orthogonal condition aijaik=$$\delta_{jk}$$ j,k=1,2,3 I write the invariance of the length of a vector in two coordinate systems: x'ix'i=xixi Using the linear transformation: x'i=ai1xi1+ai2xi2+ai3xi3 the first term becomes: aijaikxjxk My question is: why can't I write aij2=xj2

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