Angles and Orthogonality in Inner Product Spaces | Linear Algebra

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

Inner Product Spaces:    • Inner Products and Inner Product Spac...  

Linear Algebra course:    • Linear Algebra  
Linear Algebra exercises:    • Linear Algebra Exercises  

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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

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