Determining whether vectors are orthogonal, parallel, or neither — Krista King Math | Online math help

Finding the vector orthogonal to the plane — Krista King Math | Online math help

27.1: Orthogonal Complement

Show that the orthogonal complement of a subspace is a subspace... | Filo

SOLVED:Find the orthogonal complement W^⊥ of W and give a basis for W^⊥. W={[ x y z]: x y-z=0}

Orthogonal Matrices - Examples with Solutions

Orthogonal Vectors and Subspaces | Linear Algebra | Mathematics | MIT OpenCourseWare

SOLVED:(a) Let A be an n ×n symmetric matrix, and let v be an eigenvector. Prove that its orthogonal complement under the dot product, namely, V^⊥={𝐰 ∈ℝ^n |𝐯1 ·𝐰=0}, is an invariant subspace. (b) More generally, prove that if W ⊂ℝ^n is an invariant subspace, then its orthogonal complement W^⊥, is also invariant.