The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a –b)·(a+3b) = 8 cos 0. 4 Given that 0 = 60°, show that the length of projection of (3a –b) onto (a+3b) is V13 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 22E
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The angle between the unit vectors a and b is 0.
By expanding the scalar product, show that (3a – b)·(a+3b) = 8 cos 0.
4
Given that 0 = 60°, show that the length of projection of (3a –b) onto (a+3b) is
%3D
V13
Transcribed Image Text:The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a – b)·(a+3b) = 8 cos 0. 4 Given that 0 = 60°, show that the length of projection of (3a –b) onto (a+3b) is %3D V13
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