Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an exact value for your answer. u= 2 projvu = V = [8]
Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an exact value for your answer. u= 2 projvu = V = [8]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Compute the Orthogonal Projection of u onto v**
Compute the orthogonal projection of **u** onto **v**. Use the square root symbol ‘√’ where needed to give an exact value for your answer.
\[
\textbf{u} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \quad \textbf{v} = \begin{bmatrix} 3 \\ 1 \end{bmatrix}
\]
\[
\text{proj}_{\textbf{v}}\textbf{u} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}
\]
In this exercise, the orthogonal projection of vector **u** onto vector **v** results in the zero vector.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec2b7ff9-b952-4215-9e0f-f264e2036fb8%2F635d5fda-a27d-4c4f-8b9c-37c8df9d49ad%2Fz31tjsq_processed.png&w=3840&q=75)
Transcribed Image Text:**Compute the Orthogonal Projection of u onto v**
Compute the orthogonal projection of **u** onto **v**. Use the square root symbol ‘√’ where needed to give an exact value for your answer.
\[
\textbf{u} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \quad \textbf{v} = \begin{bmatrix} 3 \\ 1 \end{bmatrix}
\]
\[
\text{proj}_{\textbf{v}}\textbf{u} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}
\]
In this exercise, the orthogonal projection of vector **u** onto vector **v** results in the zero vector.
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