Vector Field: F(x,y) = (xv, 3x, – 2y) and Surface: z = 4 - x - 3 y? Use the normal vector formula to find the normal vector for our surface. dz ду A - (1. 6y, 1) -(-1, -6y, 1) © n- (1, 3, - 1) n = (-1, -3, 1)

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A: By using prametrization

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A: Adding the plane surface y=0 to close the surface and apply the gauss divergence theorem.

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A: Here I am attaching image so that you understand each and every step.

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Q: 3. A scalar equation of the plane with normal vector = [0, -1, 3] and passing through the - point…

A: Topic = Geometry Correct option = A

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A: The solution is given as

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A: This is a problem of vector calculus.

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A: Use equation of plane and put value

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A: Give normal vector is:

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A: To Determine: A net is dipped in a river .determine the flow rate of water across the net if the…

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Q: If ø is a scalar function, then the value of curl (grad ø) is also a vector function. (a) True (b)…

A: gradient and curl vector