Let A and B be vector functions of position vector x with continuous first and second...
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Let A and B be vector functions of position vector x with continuous first and second derivatives, and let F and G be scalar functions of position x with continuous first and second derivatives. Use index notation to show that: (a) V. (VxA)-0. (b) ▼x (VF) = 0. (c) V (VFx VC) -0. (d) V (FA)-A.VF+FV.A. Let A and B be vector functions of position vector x with continuous first and second derivatives, and let F and G be scalar functions of position x with continuous first and second derivatives. Use index notation to show that: (a) V. (VxA)-0. (b) ▼x (VF) = 0. (c) V (VFx VC) -0. (d) V (FA)-A.VF+FV.A.
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