Math Beyond Numbers: Vector Analysis by Smith David

Author:Smith, David [Smith, David]
Language: eng
Format: epub
Publisher: BeyondWhy
Published: 2021-01-13T00:00:00+00:00

x ( f A) = f ( x A) + ( f x A) , where f is a scalar function

The property can be proven in the same way as we did in the above case. Use the product to expand the derivative.

Solved Examples:

Find the curl of the vector field V = x + yz + 3xz

Compute the curl of the vector field F=x 2 y + xyz -x2 y2 at point P(1,2,-5).

4.4 MORE PROPERTIES

Divergence of Curl of a vector field is zero i.e. .( x A) = 0

Curl of Gradient of a scalar field is zero i.e. x ( f ) = 0

.(A x B) = B.( x A) – A.( x B)

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