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, 8, 0), v = (2, 1, 0, 1), w = (1, 0, 7, 1) Problem #8: Enter your answer symbolically, as in these examples Enter the four components of your vector, separated with commas.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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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, 8, 0), v = (2, 1, 0, 1), w = (1, 0, 7, 1)
Problem #8:
Enter your answer symbolically,
as in these examples
Enter the four components of your
vector, separated with commas.
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, 8, 0), v = (2, 1, 0, 1), w = (1, 0, 7, 1) Problem #8: Enter your answer symbolically, as in these examples Enter the four components of your vector, separated with commas.
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