The divergence of the vector G = i+ sin y j+ 3k is:- -8y -8y + siny + cosy x3 O 3,LI O 2,L y + siny -8y +cos2y x3 O 1 al O 4 Jlat what is the curl of the vector filed v = 2x?yi + 5z?j - 4yzk -6zi + 8xyj + 2xyk -14zi – 4yzk O 2,LaI O 4 LA 6zi + 4xj – 2x2k -14zi – 2x2k O 3 lal cS la v-i+j+ 2k ,u- 3i + 2j-k äa la (v + 3u). (2v-u) - O 15 -18 -15 18 O O O d

Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (7, –9, 5)

A: Given vector field F(x,y,z) =x2 z i -2xz j +yz k   ; (7 , -9 , 5)

Q: If ϕ=3xy+2x2yz−12xz3ϕ=3xy+2x2yz−12xz3, Find ∇×(∇ϕ)

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Q: find a vector parametrization for the line with thegiven description.Passes through P = (1, 2, −8),…

A: Find a vector parametrization for the line with the given description. Passes through P = (1, 2,…

Q: find a vector parametrization for the line with thegiven description. Passes through (1, 1, 1) and…

A: The vector parametrization is:                                       r(t) = r0 + tv = x0,y0,z0 +…

Q: Find a vector n normal to the plane with the equation 5x - 5y – z = 10. n = (5,

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Q: The divergence of the vector G = 2i+ sin y j+ 3k is :- -8y + x3 -8y siny + cosy O Option 3 O Option…

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Q: V=(x^2)yi-xyj+xyzk

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Q: find a vector parametrization for the line with thegiven description. Passes through O and (4, 1, 1)

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Q: The divergence of the vector G=i+siny j + 3k is :- -8y x3 + siny -8y x3 + cosy Option 1 Option 3…

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Q: Find the divergence of the vector field F→(x,y,z)=xyzi→−yzj→+xzk→at the point (8,3,2) .   Enter…

A: The given vector field is : Fx,y,z=xyzi-yzj+xzk To find the divergence at 8,3,2

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Q: Find curl F for the vector field at the point (9, -9, 5). F(x,y,z) = x²zi - 2xzj + yzk curl F =

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (7, -9, 5)…

A: Concept:

Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (9, -9, 9)

A:

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi - 2xzj+yzk; (9,-9, 9) curl F…

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