A, B and C are three points such thatAB→ = 3a + 4bAC→ = 15a + 20b(a) Prove that A, B and C lie on a straight line

Question

A, B and C are three points such thatAB→ = 3a + 4bAC→ = 15a + 20b(a) Prove that A, B and C lie on a straight line
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Solution 1

To prove that points A, B, and C lie on a straight line, we need to show that the vectors AB and AC are collinear. This means that one vector is a scalar multiple of the other.

Given vectors AB→ = 3a + 4b and AC→ = 15a + 20b, we can see that AC is a scalar multiple of AB.

Divide AC by AB:

(15a + Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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