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Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v, w) = 0 ||u|| = 1, ||v|| = √√3, ||w|| = 5. Evaluate the expression. (6v - w, 4u+6w)

Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v, w) = 0 ||u|| = 1, ||v|| = √√3, ||w|| = 5. Evaluate the expression. (6v - w, 4u+6w)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 43E: Prove that in a given vector space V, the zero vector is unique.
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Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v, w) = 0 ||u|| = 1, |v|| = √3, ||w|| = 5. Evaluate the expression. (6v - w, 4u + 6w)
Transcribed Image Text:Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v, w) = 0 ||u|| = 1, |v|| = √3, ||w|| = 5. Evaluate the expression. (6v - w, 4u + 6w)
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