Orthonormal basis
= Orthonormal basis
{wiki=Orthonormal_basis}
An orthonormal basis is a specific type of basis used in linear algebra and functional analysis that has two key properties: orthogonality and normalization. 1. **Orthogonality**: Vectors in the basis are orthogonal to each other. Two vectors \\( \\mathbf\{u\} \\) and \\( \\mathbf\{v\} \\) are said to be orthogonal if their dot product is zero, i.e.