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The three points X(-6, 8), Y(6, -8) , and Z(-10,0) are on a circle with radius 10 and centre at the origin. Points X and Y are endpoints of a diameter and point Z is on the circle. Using your understanding of vectors, show that X, Y, and Z are the vertices of a right triangle. Include a diagram in your solution.

The three points X(-6, 8), Y(6, -8) , and Z(-10,0) are on a circle with radius 10 and centre at the origin. Points X and Y are endpoints of a diameter and point Z is on the circle. Using your understanding of vectors, show that X, Y, and Z are the vertices of a right triangle. Include a diagram in your solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The three points X(-6, 8), Y(6, -8) , and Z(-10, 0) are on a circle with radius 10 and centre at the origin. Points X and Y are endpoints of a diameter and point Z is on the circle. Using your understanding of vectors, show that X, Y, and Z are the vertices of a right triangle. Include a diagram in your solution.
Transcribed Image Text:The three points X(-6, 8), Y(6, -8) , and Z(-10, 0) are on a circle with radius 10 and centre at the origin. Points X and Y are endpoints of a diameter and point Z is on the circle. Using your understanding of vectors, show that X, Y, and Z are the vertices of a right triangle. Include a diagram in your solution.
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