Find the decomposition a = a||b + alb with respect to b if a = (x, y, z), b = (1, 1, 1). (Give your answer using component form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 26RE
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Find the decomposition a =
аь + ajь with respect to b if a %3D (х, у, z), b %3D (1, 1, 1).
(Give your answer using component form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions
where needed.)
a||b =
x+y+z x+y+z x+y+z
3
3
3
2х —у -z 2у —х—z 2z —х —z
alb =
3
3
3
Incorrect
Transcribed Image Text:Find the decomposition a = аь + ajь with respect to b if a %3D (х, у, z), b %3D (1, 1, 1). (Give your answer using component form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) a||b = x+y+z x+y+z x+y+z 3 3 3 2х —у -z 2у —х—z 2z —х —z alb = 3 3 3 Incorrect
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