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📈 Optional Mathematics - Class 10
Lesson 10 · Theorems

Vector Geometry Presentation

Optional MathematicsSubject
8 minEstimated read
Slide 1 of 4
Optional Mathematics, Class 10: Vectors

Vector Geometry

Triangle law · Mid-point theorem · Section formulae

By the end of this lesson you can

🧭

Explain why AB + BC = AC as vectors

🔺

Prove the mid-point theorem for a median

📍

Find the position vector of a mid-point

✂️

Divide a segment internally and externally in m : n

Home to school: two routes

📏As distance
Through the shop is longer
AB + BC > AC
Two sides beat the third
VS
➡️As vectors
Both start at A, end at C
AB + BC = AC
Only start and finish count

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Presenter notes: Today we use vectors to prove results about triangles and line segments. Everything comes from one simple idea about journeys.