Vector dot and cross products

Vector dot product and vector length

Proving vector dot product properties

Defining the angle between vectors

Proof of the Cauchy-Schwarz inequality

Vector triangle inequality

Defining a plane in R3 with a point and normal vector

Cross product introduction

Proof: Relationship between cross product and sin of angle

Dot and cross product comparison/intuition

Normal vector from plane equation

Vector triple product expansion (very optional)

Distance between planes

Point distance to plane