Let T: R³ → R³ be the projection T(u) = proj, (u) where v = (1, —1, 2). Vu Find T(x, y, z). [Recall that proj,(u) = v]. ||v||² (a) Find T(x, y, z). (b) Compute T(1,0,1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Let T: R³ → R³ be the projection T(u) = proj, (u) where v = (1,-1,2).
v.u
Find T(x, y, z). [Recall that proj, (u) =
||v||²
(a) Find T(x, y, z).
(b) Compute T(1,0,1).
-v].
Transcribed Image Text:Let T: R³ → R³ be the projection T(u) = proj, (u) where v = (1,-1,2). v.u Find T(x, y, z). [Recall that proj, (u) = ||v||² (a) Find T(x, y, z). (b) Compute T(1,0,1). -v].
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