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

Q: Sketch the vector field F = ⟨x, y⟩ .

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

Q: - draw the vector fields . F(xy) = 2xi – yİk

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Q: Q4: Find the curl of the vector field F(x, y,2) = xJyi +j+ zk at the point(2,4).

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Q: g (x, y) = 5x² + 3xy + y² find the conservative vector field.

A: We know that  a conservative vector field is also a gradient vector. So here we will use this…

Q: Find the curl of the vector field F→(x,y,z)=e^xsinyi→−e^xcosyj→+xyk→at the point (10,9,24).…

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Q: Compute the curl of the vector field F = - (x + 3y) i + (y – 3z) } – (z + 3x) k curl

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Q: latch the vector field with its graph. F(x, y) = yi -6 5 5 -5+

A: Given: F(x,y)=yi Find: graph of vector field

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: Determine the vector field of FF. F(x,y)=8i−4j

A: Solution

Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 7x?y²j

A: Find the divergence of the vector field F.

Q: Match the vector field with its graph. F(x, y) = yi 5 5 -5+ サ

A: To match the given vector field to its graph, where given graphs are given below.

Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6)

A: step 2 complete solution

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

A: Given vector field and point now we have to find curl F as shown below

Q: Determine the vector field of F. F(r, y) = yi -

A: Solution:

Q: Compute the curl, V x F, of the vector field. F(x, y, z) = 7xi + 9yj + 2zk curl(F) = -7xi – 5yj +…

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Q: b) Find the curl of the vector field, CurlF, if F= Axzi- By 2j+ Cx tk, %3D where the coefficients A,…

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Q: Determine the vector field of F. F(x, y) = 8i – 4j 1 1

A: We have given vector F=8i-4j. We have find the vector field.

Q: Select the plot of the vector field F(z, y) = (2, z). %3D

A: Given vector field is F(x, y) = (2, x)

Q: (7) Find (a) the curl and (b)the divergence of the vector field. F (x, y, z) = xye' i_± yze*k

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Q: F(x.y) = (4xy, - 3y²> A V.F- 4x B VF-1 © v.F = 4x - 6y (D vi--2y

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Q: Find the divergence and the curl of the vector field .F(x, y, z) = 1 (xi + yj + zk).

A: F(x,y,z) =xi +yj+zkx2+y2+z2 it can be written as F(x,y,z) =xi +yj+zkr   where r =x2+y2+z2 divergence…

Q: Match the vector field with its graph. F(x, y) = yi -5+ -5+

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Q: Match the vector field with its graph. F(x, y) %3D хі + Зуј -67

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Q: Find the divergence and the curl of the vector field . F(x,y,z)=1/√(x^2+y^2+z^2 )(xi+yj+zk)

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Q: Determine the vector field of F. F(x, y) = 6i – 3j

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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)

A:

Q: How much work is required to move an object in the vector field F = 5 y² ỉ + 2xy] Along the curve C,…

A: Given: F=5y2i+2xyj  C1 is the line y=0 C2 is the line x=1 C3 is the line segment joining points 1,1…

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5

A: We can solve this using by draw a graph

Q: f(x,y) = 2x3+4y3-3x2-120x-192y+5 Is f(x,y) a curve, vector field, or surface?

A: To check whether it is a curve, vector or surface. f(x,y) = 2x3+4y3-3x2-120x-192y+5

Q: Determine the vector field of F. F(x, y) = 6i – 2j

A: The general form of a vector-valued function in two dimensions is given by F=F1i+F2j, where F1 and…

Q: Ğ(x, y, z) = (2z3 – 4y2 + Mxy, x2 - 8xy – Nz, 6xz? - My + 4) 1. Find the curl of G 2. Find M and N…

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Q: Find the curl of the vector field F=(2xyz, -xy,-z^2)

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Q: Sketch the vector field F(x, y, z) = xi+ yj+ zk.

A: GIVEN : F (x, y, z) = xi + yj + zk Explanation: A vector field is a function F that assigns to each…

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 5 5 -5+ -5+

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Q: Sketch some vectors in the vector field F(x, y) = 2xi + yj.

A: Given: F(x, y) = 2xi^ + yj^

Q: Compute the curl of the vector field F = -2z i – 3y j – 5x k.

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Sketch a sample of vectors for the vector field F(x, y) = (3x y) Choose the correct answer below.…

A: The solution are next step

Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (3, -9, 7)…

A:

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

A: The curl of a vector field F is defined as  ∇×F=i^j^k^∂∂x∂∂y∂∂zf1f2f3

Q: For the cubical box with side 1m surface), find the value of f V xA · ds of the cube) if the vector…

A: We are given a cubical box with side 1m. We need to find the value of ∫∇×A→·ds→ on the vector field…

Q: Find the curl of the vector field F(x,y,z)

A: The given vector field F(x,y,z)=yex, 2x+3y, ycosx we have to find curl F(x,y,z)=?

Q: Determine the vector field of F. F(x, y) = yl – xj 1.

A: Solution

Q: Determine the vector field of F. F(x, y) = 9i – 3j

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Q: Find the curl of the vector field F(x, y, z) = (4x, 3ze", yze").

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Q: Q9. V = 2yī – xJ, what is the magnitude and direction of the vector field made with the 5, 26.6° V5,…

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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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Q: Find the gradient vector field of f(х, у, 2) — е6х + 3у +2:

A:

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.