Orthogonal Projections and Reflections

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers the theorems related to orthogonal projection and orthonormal bases.