In Exercises 1–3, find the curl of each vector field F. 1. F = (x + y - z)i + (2x - y + 3z)j + (3x + 2y + z)k 2. F = (x2 - y)i + (y2 - z)j + (z2 - x)k 3. F = (xy + z)i + (yz + x)j + (xz + y)k
In Exercises 1–3, find the curl of each vector field F. 1. F = (x + y - z)i + (2x - y + 3z)j + (3x + 2y + z)k 2. F = (x2 - y)i + (y2 - z)j + (z2 - x)k 3. F = (xy + z)i + (yz + x)j + (xz + y)k
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 12EQ
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In Exercises 1–3, find the curl of each
1. F = (x + y - z)i + (2x - y + 3z)j + (3x + 2y + z)k
2. F = (x2 - y)i + (y2 - z)j + (z2 - x)k
3. F = (xy + z)i + (yz + x)j + (xz + y)k
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