3) Given vector fields C(x,y,z) = ya, and D(x,y, z) = 5a, answer the following questions a) Sketch both vector fields on R. b) Find V C and C V (Which one of these two is an operator?) c) Prove the following property of the divergence of a vector field: V (VA) = VV - A+ V(V A) when V is a scalar field and A is a vector field.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3) Given vector fields C(x,y, z) = ya, and D(x, y, z) = 5a, answer the following questions
a) Sketch both vector fields on R.
b) Find V C and C V (Which one of these two is an operator?)
c) Prove the following property of the divergence of a vector field:
V. (VA) = V A+V(V A)
when V is a scalar field and A is a vector field.
Transcribed Image Text:3) Given vector fields C(x,y, z) = ya, and D(x, y, z) = 5a, answer the following questions a) Sketch both vector fields on R. b) Find V C and C V (Which one of these two is an operator?) c) Prove the following property of the divergence of a vector field: V. (VA) = V A+V(V A) when V is a scalar field and A is a vector field.
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