Question: Calculate the quantities .u, u, V 2 u, u, tr (u) for the following Cartesian vector fields: a. b. c. = 2x1e+x1x2e2 + 2x1x3e3

Calculate the quantities ∇.u, ∇×u, V2u, ∇u, tr (∇u) for the following Cartesian vector fields:

a. = 2x1e+x1x2e2 + 2x1x3e3

b. u = x/01 + 2xx2x32 + 2xzez

c. = x201 + 2x2x3e2 +4x7x3e3

= 2x1e+x1x2e2 + 2x1x3e3

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