Which of the following are scalar field?

A scalar field is a name we give to a function defined in some sort of space. Thus, in ordinary three dimensional space the following are examples of scalar fields: sin xyz, cos z, x2 + y2 + z2. A linear field is one of the form ax + by + cz + d for some constants a, b, c and d.

What is scalar and vector field examples?

In physics, we deal with two kinds of quantities – scalars and vectors. A scalar is an entity which only has a magnitude – no direction. Examples of scalar quantities include mass, electric charge, temperature, distance, etc. Examples of vector quantities are displacement, velocity, magnetic field, etc.

What is a scalar field in mathematics?

A scalar field is an assignment of a scalar to each point in region in the space. E.g. the temperature at a point on the earth is a scalar field.

Which is not a scalar field function?

For example, given a fixed point A, f(P)= Distance of P from A, is an example of a scalar field, because distances between points do not change under rotation of axes or shifting of the origin. On the other hand, f(x,y,z)=(x+y) is a scalar function, which is not a scalar field.

What is vector field example?

A gravitational field generated by any massive object is also a vector field. For example, the gravitational field vectors for a spherically symmetric body would all point towards the sphere’s center with the magnitude of the vectors reducing as radial distance from the body increases.

Is electric field a scalar?

No, electric field is not a scalar. The electric is a vector quantity. We know that electric field is the ratio of force per unit test charge.

Is gravity a vector field?

Gravitational fields are vector fields. They can be visualized in two ways – either by drawing an arrow representing the gravitational field vector at that point, or by drawing field lines.

Is magnetic field a vector?

The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.

Is friction a vector or scalar?

Scalar or Vector? Friction is a force, therefore it is a VECTOR quantity. All forces are vector quantities. A friction force tends to oppose an object’s motion.

Do gravitational fields exist?

As one example, a gravitational field exists around the Earth and indeed around every particle of mass that moves with it. At every point in space, the field has direction in respect to the particle.

What is the pull of the Earth?

gravitational pull
The gravitational pull of the earth is an attraction the earth exerts on an object or the object exerts on the earth. It is proportional to the product of the masses of the earth and the object and is inversely proportional to the square of the distance between the object and the earth’s center.