Lesson 10 · Theorems

Introduction of Scalar Product Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10

Introduction of Scalar Product

Vector · Work and power · a · b = |a||b| cos θ

By the end of this lesson you can

↗️

Tell a scalar from a vector

🌱

Write work as W = |F||d| cos θ

🛒

Write power as P = |F||v| cos θ

✖️

Define and use a · b = |a||b| cos θ

Scalar or vector?

🔢Scalar
Magnitude only
Mass, time, work, power
5 kg is complete
VS
➡️Vector
Magnitude and direction
Force, displacement, velocity
200 m east is complete

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Presenter notes: Today we multiply two vectors together and discover that the answer is not a vector at all. We start with two things you already know from science: work and power.