Write a formula for a two-dimensional vector field which has all vectors parallel to the -axis and all vectors on a vertical line having the same magnitude.

Respuesta :

The formula for a two-dimensional vector field will be:

F = F(x,y) = <u(x,y), v(x,y)> = u i + v j;

Where (i,j) are unit vectors in the coordinate directions

To make all vectors parallel to the x-axis

v(x,y)=0

F(x,y) = <u(x,y),0>

To make all vectors on a horizontal line having the same magnitude.

u(x,y) = u(y)

so

F(x,y) = <u(y),0> = u(y)

What is vector field?

A vector field is the assignment of a vector to each point in a subset of space in the fields of vector calculus and physics. For instance, a vector field in the plane can be imagined as a group of arrows, each tied to a point in the plane and each with a specific magnitude and direction.

What are the types of Vector Fields?

  • source fields
  • vortex fields

Why are vector fields used?

Vector fields are frequently used to simulate many physical phenomena, such as the strength and direction of a force as it varies from point to point or the speed and direction of a fluid traveling across space.

To learn more about vector field visit:

https://brainly.com/question/24332269

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