Problem #8: Let R4 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, 5, 0), v = (7, 1, 0, 1), w = (1, 0, 3, 1) Problem #8: Enter your answer symbolically, as in these examples Enter the four components of your vector, separated with commas.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem #8: Let Rª 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, 5, 0), v = (7, 1, 0, 1), w = (1, 0, 3, 1)
Enter your answer symbolically,
as in these examples
Problem #8:
Enter the four components of your
vector, separated with commas.
Transcribed Image Text:Problem #8: Let Rª 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, 5, 0), v = (7, 1, 0, 1), w = (1, 0, 3, 1) Enter your answer symbolically, as in these examples Problem #8: Enter the four components of your vector, separated with commas.
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