Web Reference: Jul 23, 2025 · Orthogonal vectors are a fundamental concept in linear algebra and geometry. Orthogonal vectors are vectors that are perpendicular to each other, meaning they meet at a right angle (90 degrees). Two vectors are orthogonal if their dot product is zero. Now that we have gone through all the necessary information of orthogonal vectors and have a clear understanding of how to check whether the vectors are orthogonal or not, then let’s analyze some of the properties of the orthogonal vectors. That is, you need to solve a linear system of $m$ equations with $n$ unknowns. This is something you can do using row reduction. The solution will never be unique; if the vector $x$ is a solution then the vector $cx$ is also a solution, where $c$ is any scalar constant.
YouTube Excerpt: In this math video I (Susanne) explain how to check if vectors are orthogonal and how to
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