Let u1, u2, u3 be given as shown below. Note that u1 and u2 are othogonal but that u3 is not orthogonal to either u1 or u2. It can be shown that u3 is not in the subspace W spanned by u1 and u2. Use this fact to construct a nonzero vector v in R 3 that is orthogonal to u1 and u2. u1=(1,1,-2) u2=(5,-1,2) u3=(0,0,1)
Let u1, u2, u3 be given as shown below. Note that u1 and u2 are othogonal but that u3 is not orthogonal to either u1 or u2. It can be shown that u3 is not in the subspace W spanned by u1 and u2. Use this fact to construct a nonzero vector v in R 3 that is orthogonal to u1 and u2. u1=(1,1,-2) u2=(5,-1,2) u3=(0,0,1)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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Let u1, u2, u3 be given as shown below. Note that u1 and u2 are othogonal but
that u3 is not orthogonal to either u1 or u2. It can be shown that u3 is not in the
subspace W spanned by u1 and u2. Use this fact to construct a nonzero vector
v in R
3
that is orthogonal to u1 and u2.
u1=(1,1,-2) u2=(5,-1,2) u3=(0,0,1)
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