Angles and Orthogonality in Inner Product Spaces | Linear Algebra

🛍 Check out my math fashion brand! https://mathshion.com/ Linear Algebra course:    • Linear Algebra   Linear Algebra exercises:    • Linear Algebra Exercises   Get the textbook for this course! https://amzn.to/45KYgmA Business Inquiries: [email protected] We introduce the definition of the angle between two vectors in an inner product space. We'll also see what it means for two vectors to be orthogonal in an inner product space and see examples of orthogonal and not orthogonal vectors in various inner product spaces. #linearalgebra ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● X:   / wrathofmathedu   0:00 Intro 0:31 Cauchy-Schwartz Inequality in Inner Product Spaces 2:25 Definition of Angle Between Vectors 2:50 Orthogonality in Inner Product Spaces 3:19 Example in P2 5:42 Orthogonality depends on Inner Product 7:54 Conclusion