4. Let ƒ,g be C² scalar fields on R³. Verify that V x (ƒVg) = Vƒ × Vg. V × (ƒVg+gVf). V· (SVg) = fV°g +Vƒ · Vg. Simplify Verify that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 44E
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4. Let f,g be C2 scalar fields on R.
Verify that V x (ƒVg) = Vƒ x Vg.
V × (ƒVg+gVf).
V. (fVg) = fV²g+ Vf•Vg.
Simplify
Verify that
Transcribed Image Text:4. Let f,g be C2 scalar fields on R. Verify that V x (ƒVg) = Vƒ x Vg. V × (ƒVg+gVf). V. (fVg) = fV²g+ Vf•Vg. Simplify Verify that
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