10.15. Let W be the line in R³ given by {}} 1 2 W = Span Let P (1, 1, 6) be a point in R³ and let x = 1 be the vector corresponding to the point P. a) Find Projw x. b) Find the distance d of the point P from W. c) Find the point Q on the subspace W that is closest to the point P. 10.15 Projw X = 2.d = √14. The closest point is Q(-2, 2, 4). 4
10.15. Let W be the line in R³ given by {}} 1 2 W = Span Let P (1, 1, 6) be a point in R³ and let x = 1 be the vector corresponding to the point P. a) Find Projw x. b) Find the distance d of the point P from W. c) Find the point Q on the subspace W that is closest to the point P. 10.15 Projw X = 2.d = √14. The closest point is Q(-2, 2, 4). 4
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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Transcribed Image Text:10.15. Let W be the line in R³ given by
{}}
1
2
W = Span
Let P (1, 1, 6) be a point in R³ and let x = 1 be the vector corresponding to
the point P.
a) Find Projw x.
b) Find the distance d of the point P from W.
c) Find the point Q on the subspace W that is closest to the point P.

Transcribed Image Text:10.15 Projw X =
2.d = √14. The closest point is Q(-2, 2, 4).
4
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