Problem #8: Let R4 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, 5, 0), v = (7, 1, 0, 1), w = (1, 0, 3, 1) Problem #8: Enter your answer symbolically, as in these examples Enter the four components of your vector, separated with commas.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
icon
Related questions
Question
Problem #8: Let Rª 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, 5, 0), v = (7, 1, 0, 1), w = (1, 0, 3, 1)
Enter your answer symbolically,
as in these examples
Problem #8:
Enter the four components of your
vector, separated with commas.
Transcribed Image Text:Problem #8: Let Rª 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, 5, 0), v = (7, 1, 0, 1), w = (1, 0, 3, 1) Enter your answer symbolically, as in these examples Problem #8: Enter the four components of your vector, separated with commas.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning