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Quantum Engineering Year 0: Mathematical Foundations Month 2Day 30

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Year 0·Month 2·Week 1

Day 30: The Dot Product

Day 30 of 2,016~8 min read

Learning Objectives

•Compute dot products algebraically
•Understand the geometric meaning of dot product
•Find angles between vectors
•Compute vector projections
•Apply dot products to physics problems (work)

Today's Schedule (7 hours)

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On this page

1 Algebraic Definition 2 Geometric Definition 3 Equivalence of Definitions Properties of the Dot Product Finding Angles Between Vectors Special Cases Orthogonality Perpendicularity Vector Projections Scalar Projection Vector Projection Orthogonal Decomposition

Day 29Day 30 of 2,016Day 31