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Quantum Engineering Year 0: Mathematical Foundations Month 2Day 29

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Year 0·Month 2·Week 1

Day 29: Vectors in Two and Three Dimensions

Day 29 of 2,016~8 min read

Learning Objectives

•Understand vectors as directed quantities
•Perform vector operations (addition, scalar multiplication)
•Compute vector magnitudes and unit vectors
•Work in 3D coordinate systems
•Express vectors in component form

Today's Schedule (7 hours)

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On this page

1 What is a Vector 2 Geometric Representation 3 Component Form 4 Position Vectors Vector Operations 5 Vector Addition 6 Scalar Multiplication 7 Vector Subtraction Magnitude and Direction 8 Magnitude Length 9 Unit Vectors 10 Direction Angles and Cosines 3D Coordinate System 11 The Right-Hand Rule 12 Octants 13 Distance in 3D 14 Spheres

Day 28Day 29 of 2,016Day 30