Angles and Orthogonality in Inner Product Spaces | Linear Algebra

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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

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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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Help me finish this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier!

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Cauchy-Schwartz? More like "Cool videos, with useful facts in spurts!"

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