CS223 · Annotated SlidesChapter 6 — Inner Product, Length and Orthogonality
Chapter 6 · Annotated slides

Inner Product, Length and Orthogonality

The dot product, length and unit vectors, distance, orthogonal vectors and the Pythagorean theorem, orthogonal complements, and (Row A)⊥ = Nul A.

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Slide 1: CS 223: Computational Linear Algebra
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    1. u · v = uᵀv. ‖v‖ = √(v · v). Unit vector: v/‖v‖. dist(u, v) = ‖u − v‖.
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    MCQ

    The length of v = (3, 4) is:

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        1. u ⊥ v ⇔ u · v = 0 ⇔ ‖u + v‖² = ‖u‖² + ‖v‖².
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