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Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the vertices of an isosceles right triangle. What are the endpoints of its hypotenuse? 2. Find the center-radius form of the equation of the sphere whose diameter has endpoints at A and C.

Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the vertices of an isosceles right triangle. What are the endpoints of its hypotenuse? 2. Find the center-radius form of the equation of the sphere whose diameter has endpoints at A and C.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 33E
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Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the vertices of an isosceles right triangle. What are the endpoints of its hypotenuse? 2. Find the center-radius form of the equation of the sphere whose diameter has endpoints at A and C.
Transcribed Image Text:Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the vertices of an isosceles right triangle. What are the endpoints of its hypotenuse? 2. Find the center-radius form of the equation of the sphere whose diameter has endpoints at A and C.
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