# Visualising the Gram-Schmidt Algorithm

This applet demonstrates the Gram-Schmidt algorithm performed in $\mathbb R^3$.

The Gram-Schmidt algorithm converts a basis of an inner product space into an orthonormal basis.

It does this by building up the orthonormal basis one vector at a time. For each vector in turn, we remove any component that is parallel to the vectors which came before, and then normalise the result.

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