3. Consider the following vectors in R³: The set B = --8--8--8--8 = 2 {b₁,b2, b3} is a basis of R³ (you do not need to verify it). b₁ 1 = b₂ = Compute the vector u. [u] B 0 a) Compute [w], the coordinate vector of w relative to the basis B. b) Let u € R³ be a vector such that 3 -B = 1 W = -5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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3. Consider the following vectors in R³:
The set B
=
--8--8--8--8
= 2
{b₁,b2, b3} is a basis of R³ (you do not need to verify it).
b₁ 1 =
b₂ =
Compute the vector u.
[u] B
0
a) Compute [w], the coordinate vector of w relative to the basis B.
b) Let u € R³ be a vector such that
3
-B
=
1
W = -5
Transcribed Image Text:3. Consider the following vectors in R³: The set B = --8--8--8--8 = 2 {b₁,b2, b3} is a basis of R³ (you do not need to verify it). b₁ 1 = b₂ = Compute the vector u. [u] B 0 a) Compute [w], the coordinate vector of w relative to the basis B. b) Let u € R³ be a vector such that 3 -B = 1 W = -5
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