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7 In triangle OAB, OÀ = 3i + 4k and OB = i + 2j − 2k. a Use the scalar product to show that ZAOB is an obtuse angle.

7 In triangle OAB, OÀ = 3i + 4k and OB = i + 2j − 2k. a Use the scalar product to show that ZAOB is an obtuse angle.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 24E
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7 In triangle OAB, OẢ = 3i + 4k and OB = i + 2j − 2k. a Use the scalar product to show that ZAOB is an obtuse angle. b Find OP, where P is: i the midpoint of AB ii the point on AB such that OP is perpendicular to AB iii the point where the bisector of ZAOB intersects AB.
Transcribed Image Text:7 In triangle OAB, OẢ = 3i + 4k and OB = i + 2j − 2k. a Use the scalar product to show that ZAOB is an obtuse angle. b Find OP, where P is: i the midpoint of AB ii the point on AB such that OP is perpendicular to AB iii the point where the bisector of ZAOB intersects AB.
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