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37 Suppose that AB, AC, and AD are directed line segments of u, v, and u + v, respectively, with ju|=|v|. Show that AD bisects the angle between AB and AC. 38 Let P be a vertex of a cube. Draw a diagonal of the cube from P and a diagonal of one of the faces from P. Use vectors to find the cosine of the angle between these two diagonals. 39 Use vectors to find the cosine of the angle between two faces of a regular tetrahedron. (See Problem 33, Chapter 13, Section 2.)

37 Suppose that AB, AC, and AD are directed line segments of u, v, and u + v, respectively, with ju|=|v|. Show that AD bisects the angle between AB and AC. 38 Let P be a vertex of a cube. Draw a diagonal of the cube from P and a diagonal of one of the faces from P. Use vectors to find the cosine of the angle between these two diagonals. 39 Use vectors to find the cosine of the angle between two faces of a regular tetrahedron. (See Problem 33, Chapter 13, Section 2.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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37 Suppose that AB, AC, and AD are directed line segments of u, v, and u + v, respectively, with ju|=|v|. Show that AD bisects the angle between AB and AC. 38 Let P be a vertex of a cube. Draw a diagonal of the cube from P and a diagonal of one of the faces from P. Use vectors to find the cosine of the angle between these two diagonals. 39 Use vectors to find the cosine of the angle between two faces of a regular tetrahedron. (See Problem 33, Chapter 13, Section 2.)
Transcribed Image Text:37 Suppose that AB, AC, and AD are directed line segments of u, v, and u + v, respectively, with ju|=|v|. Show that AD bisects the angle between AB and AC. 38 Let P be a vertex of a cube. Draw a diagonal of the cube from P and a diagonal of one of the faces from P. Use vectors to find the cosine of the angle between these two diagonals. 39 Use vectors to find the cosine of the angle between two faces of a regular tetrahedron. (See Problem 33, Chapter 13, Section 2.)
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