Why is the inner product of two orthogonal vectors always zero?(adsbygoogle = window.adsbygoogle || []).push({});

For example, in the real vector space R^n, the inner product is defined as ||a|| * ||b|| * cos(theta), and if they are orthogonal, cos(theta) is zero.

I can understand that, but how does this extend to any euclidean space?

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# Why the inner product of two orthogonal vectors is zero

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