The angle between the pair of vectors v₁ = 0, v₂=a is 0 = 45°. What is the value of a ? 1-₁2-
The angle between the pair of vectors v₁ = 0, v₂=a is 0 = 45°. What is the value of a ? 1-₁2-
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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![**Transcription for Educational Website:**
---
### Problem Statement
Given the angle between the pair of vectors:
\[ \mathbf{v}_1 = \begin{bmatrix}
1 \\
0
\end{bmatrix}, \quad \mathbf{v}_2 = \begin{bmatrix}
1 \\
\alpha
\end{bmatrix} \]
is \( \theta = 45^\circ \).
What is the value of \( \alpha \)?
---
### Explanation
In this problem, we are asked to find the value of \( \alpha \) for which the angle between the vectors \(\mathbf{v}_1\) and \(\mathbf{v}_2\) is 45 degrees.
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Transcribed Image Text:**Transcription for Educational Website:**
---
### Problem Statement
Given the angle between the pair of vectors:
\[ \mathbf{v}_1 = \begin{bmatrix}
1 \\
0
\end{bmatrix}, \quad \mathbf{v}_2 = \begin{bmatrix}
1 \\
\alpha
\end{bmatrix} \]
is \( \theta = 45^\circ \).
What is the value of \( \alpha \)?
---
### Explanation
In this problem, we are asked to find the value of \( \alpha \) for which the angle between the vectors \(\mathbf{v}_1\) and \(\mathbf{v}_2\) is 45 degrees.
---
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