Answer: With respect to right-handed coordinates, let u =
Chapter 9, Problem 9.1.287(choose chapter or problem)
With respect to right-handed coordinates, let \(\mathbf{u}=\left[y^{2}, z^{2}, x^{2}\right]\), v = [yz, zx, xy], f = xyz and g = x + y + z. Find the following expressions. If one of the formulas in Project 16 applies, use it to check your result. (Show the details of your work.)
\(\mathbf{u} \times \operatorname{curl} \mathbf{v}, \mathbf{v} \times \operatorname{curl} \mathbf{v}, \mathbf{u} \cdot \operatorname{curl} \mathbf{v}, \mathbf{v} \cdot \operatorname{curl} \mathbf{u}\)
Text Transcription:
u=[y^2, z^2, x^2]
u times curl v, v times curl v, u times curl v, v times curl u
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