a) Give an example of unit vector in R3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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a) Give an example of unit vector in R3.
b) Show that Z does not form a vector space.
c) Find ū + ū where ū = (1,2,3) and v = (;,0,4, 5).
%3D
d) Normalize the vector ū = (2,4, 6).
e) Find the ū ·ī where ū = (0, 1,0) and v = (0,2,2) and 0 = 45°.
%3D
Transcribed Image Text:a) Give an example of unit vector in R3. b) Show that Z does not form a vector space. c) Find ū + ū where ū = (1,2,3) and v = (;,0,4, 5). %3D d) Normalize the vector ū = (2,4, 6). e) Find the ū ·ī where ū = (0, 1,0) and v = (0,2,2) and 0 = 45°. %3D
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