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Normal form of Lines in R^2

Scalar and Vector Triple Product

Properties of the Vector Product

Projections in R^n

Addition/Scalar Multiplication of Vectors

Introduction to Vectors

Vector/Cross Product in R^3

Norm and Scalar Product of Vectors in R^n

Orthogonality and Properties of the Scalar Product

Vectors in R^n

Linear Combinations of Vectors in R^n

De Moivre's Theorem

Roots of Unity

Euler's Formula

Complex Roots

Complex Division and Conjugation

Complex Multiplication and Rotations

Proof by Contrapositive

Polar Form and Complex Addition

Argand Diagram/Complex Plane

Complex Numbers

Imaginary Numbers

Introduction and Motivation of Complex Numbers

Principle of Strong Induction