ind a unit vector orthogonal to bothu and v. u = (-8, 7, -2) v = (-1, 1, 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

Find a unit vector orthogonal to both **u** and **v**.

**Given Vectors:**

\(\mathbf{u} = (-8, 7, -2)\)

\(\mathbf{v} = (-1, 1, 0)\)

**Explanation:**

To find a unit vector orthogonal to both vectors **u** and **v**, we need to calculate the cross product of **u** and **v**. This will give a vector orthogonal to both. Then, to convert this vector into a unit vector, we divide the vector by its magnitude.

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Transcribed Image Text:**Problem Statement:** Find a unit vector orthogonal to both **u** and **v**. **Given Vectors:** \(\mathbf{u} = (-8, 7, -2)\) \(\mathbf{v} = (-1, 1, 0)\) **Explanation:** To find a unit vector orthogonal to both vectors **u** and **v**, we need to calculate the cross product of **u** and **v**. This will give a vector orthogonal to both. Then, to convert this vector into a unit vector, we divide the vector by its magnitude. *Note: There is a box in the image that is not filled with any content.*
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