A vector field is said to be incompressible if its divergence is O. Show that any vector field of the form F =< f (y, z), g(x,z), h(x, y) > is incompressible.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
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A vector field is said to be incompressible if its divergence is O. Show that any vector field of the
form F =< f (y, z), g(x,z), h(x, y) > is incompressible.
Transcribed Image Text:A vector field is said to be incompressible if its divergence is O. Show that any vector field of the form F =< f (y, z), g(x,z), h(x, y) > is incompressible.
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