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Show that if v is orthogonal to both w1 and w2, then v is orthogonal to k1w1 + k2w2 for all scalars k1 and k2.Also, Use graphical representation to show how v is orthogonal to the plane formed by  w1 and w2

Show that if v is orthogonal to both w1 and w2, then v is orthogonal to k1w1 + k2w2 for all scalars k1 and k2.Also, Use graphical representation to show how v is orthogonal to the plane formed by  w1 and w2

Elementary Linear Algebra (MindTap Course List)
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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. Show that if v is orthogonal to both w1 and w2, then v is orthogonal to k1w1 + k2w2 for all scalars k1 and k2.Also, Use graphical representation to show how v is orthogonal to the plane formed by  w1 and w2

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Show how v is orthogonal to any linear combination formed by w1 and w2

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