What are V-F and VX F for the vector field F(x,y,z) = 3x²zi-ye*j - y²zk? OV.F = x²exy 2 VXF = x²i-3e²j+yk OF=3x²-xe* + 2yz VXF = 2i-3j-k V-F = 3x²-x-z VXF= -2yi+ 3xj + zk V-F = 6xz-e* - y² VXF = -2yzi + 3x²j-ye*k

Q: How do you graph the vector field F = ⟨ƒ(x, y), g(x, y)⟩?

A: Given: vector field

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A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: Find the curl of the vector field F. F(x, y, x) = 2yz'i + 3xj +&xk O 15r4 O 15:3 O (8yz – 8]j +…

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Q: OV.F 7 (V.F) VX (V x F) O (Vf) x F (V.F). F

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Q: (c) For the vector fields defined in part (b), evaluate separately each term in the iden- tity given…

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Q: Vector Field: F(x,y.z) = (-y, 2rz., x²) and Parametric Curve: r(t) = (21, 31, r> Use the parametric…

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Q: Which of these vector fields are irrotational? Identify all of those that satisfy this property. A B…

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Q: the vector fieldR-(x² 2 2 what is 282

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Q: Compute the flux of the vector field (x², - xy³), out of the rectangle with vertices (0,0), (5,0),…

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Q: Show that Vx (V.f) = 0 for any vector field f.

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Q: Recognize a vector field in a plane Sketch the vector field. x | y || F(x, y) = (1/2, − 4 ) 2 2 02…

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