Stage 27 · Plane Vectors

27.4 The Dot Product: Angles and Perpendicularity

Introduce the operation that multiplies two vectors into a number, capturing the angle between them, projection, and when they're perpendicular.

7 knowledge points

Knowledge point pages

27.4.1 The Angle Between Vectors and Projection 27.4.2 Defining the Dot Product 27.4.3 What the Dot Product Means Geometrically 27.4.4 The Dot Product in Coordinates 27.4.5 Finding Length and Angle with the Dot Product 27.4.6 Testing for Perpendicularity 27.4.7 The Rules, and a Word of Caution

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