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Let F(x, y, z) = yi + xzj + 2xyk and G(x, y, z) = zi + xj + yk. Refine expression (FV)G (F₁0₁ + F202 + F303)G, which results in a certain vector field. Here @ ₁ = x= a/ax etc. Such expressions appear in more difficult nabla formulas. (Ans: 2xyi + yj + xzk) =

Let F(x, y, z) = yi + xzj + 2xyk and G(x, y, z) = zi + xj + yk. Refine expression (FV)G (F₁0₁ + F202 + F303)G, which results in a certain vector field. Here @ ₁ = x= a/ax etc. Such expressions appear in more difficult nabla formulas. (Ans: 2xyi + yj + xzk) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let F(x, y, z) = yi + xzj + 2xyk and G(x, y, z) = zi + xj + yk. Refine expression (F. V)G = (F₁01 + F202 + F303)G, which results in a certain vector field. Here @ ₁ = ax = a/ax etc. Such expressions appear in more difficult nabla formulas. (Ans: 2xyi+yj + xzk)
Transcribed Image Text:Let F(x, y, z) = yi + xzj + 2xyk and G(x, y, z) = zi + xj + yk. Refine expression (F. V)G = (F₁01 + F202 + F303)G, which results in a certain vector field. Here @ ₁ = ax = a/ax etc. Such expressions appear in more difficult nabla formulas. (Ans: 2xyi+yj + xzk)
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