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2. Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry. A B

2. Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry. A B

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 7AEXP
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2. Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry. A B
Transcribed Image Text:2. Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry. A B
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