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Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly, a||z) ab = (α₁x, аly, alz) (Enter the components of vectors using symbolic notation and fractions where needed.) al|x ally = allz = alx = aly = alz = 11

Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly, a||z) ab = (α₁x, аly, alz) (Enter the components of vectors using symbolic notation and fractions where needed.) al|x ally = allz = alx = aly = alz = 11

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the decomposition a = a|| + a₁ with respect to b if a = (3, 4, 2), b = (3, 4, 6). = (a||x, a||y, a||z) a¹b = (alx, aly, alz) (Enter the components of vectors using symbolic notation and fractions where needed.) a||x ally a||z ab = = = alx = aly = alz =
Transcribed Image Text:Find the decomposition a = a|| + a₁ with respect to b if a = (3, 4, 2), b = (3, 4, 6). = (a||x, a||y, a||z) a¹b = (alx, aly, alz) (Enter the components of vectors using symbolic notation and fractions where needed.) a||x ally a||z ab = = = alx = aly = alz =
Expert Solution
Step 1

Given: a→=3,4,2and b→=3,4,6

To find:

Decomposition a=a∥+a⊥with respect to b.

Here,

 a∥b=a∥x,a∥y,a∥za⊥b=a⊥x,a⊥y,a⊥z

Formula Used:

a→∥b→=projba=a→.b→b2.b→a→⊥b→=a-a→∥b→

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