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Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1, −1, 7, 0), v = (3, 1, 0, 1), w = (1, 0, 4, 1)

Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1, −1, 7, 0), v = (3, 1, 0, 1), w = (1, 0, 4, 1)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1, −1, 7, 0), v = (3, 1, 0, 1), w = (1, 0, 4, 1)
Transcribed Image Text:Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1, −1, 7, 0), v = (3, 1, 0, 1), w = (1, 0, 4, 1)
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