3. Consider the following 2 vectors in R³: V1 = V2 = (a) Check that the vectors are orthogonal. (b) Find the normalized vectors v1, v2. (c) find a third vector v3, so that v1, V2, V3 is an orthonormal set of vectors.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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3. Consider the following 2 vectors in R3:
1
1
Vi =
2
V2
1
(a) Check that the vectors are orthogonal.
(b) Find the normalized vectors v1, v2.
(c)
find a third vector v3, so that v1, V2, V3
is an orthonormal set of vectors.
Transcribed Image Text:3. Consider the following 2 vectors in R3: 1 1 Vi = 2 V2 1 (a) Check that the vectors are orthogonal. (b) Find the normalized vectors v1, v2. (c) find a third vector v3, so that v1, V2, V3 is an orthonormal set of vectors.
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