Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1, -1, 8, 0), v = (2, 1, 0, 1), w = (1, 0, 7, 1) Problem #8: Enter your answer symbolically, as in these examples Enter the four components of your vector, separated with commas.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
icon
Related questions
Question
Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to
all three of the following vectors.
u = (1, -1, 8, 0), v = (2, 1, 0, 1), w = (1, 0, 7, 1)
Problem #8:
Enter your answer symbolically,
as in these examples
Enter the four components of your
vector, separated with commas.
Transcribed Image Text:Problem #8: Let R have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1, -1, 8, 0), v = (2, 1, 0, 1), w = (1, 0, 7, 1) Problem #8: Enter your answer symbolically, as in these examples Enter the four components of your vector, separated with commas.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning