Find u × v and show that it is orthogonal to both u and v.u = −5i + 19j − 12k, v = 5i − 19j + 12k

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section: Chapter Questions
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Find u × v and show that it is orthogonal to both u and v.

u = −5i + 19j − 12k, v = 5i − 19j + 12k

Expert Solution
Step 1

The given vector is

u=-5i+19j-12k, v=5i-19j+12k

We have to find u×v.

Also, we have to show that u×v is orthogonal to u and v.

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