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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. Given that 0 = 60°, show that the length of projection of (3a-b) onto (a+3b) is V13 4.

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. Given that 0 = 60°, show that the length of projection of (3a-b) onto (a+3b) is V13 4.

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