Understanding Vector Fields

Which of the following is NOT an application of vector fields mentioned in the video?

• Gravitational fields

• Sound waves

• Electric fields

• Flow of winds

In a two-dimensional vector field, what does the vector (0,0) represent?

• A vector with no magnitude and no direction

• A vector with maximum magnitude

• A vector pointing towards the origin

• A vector with varying magnitude

What is a characteristic of a radial vector field?

• Vectors are tangent to a circle

• Vectors point directly toward or away from the origin

• Vectors have no horizontal component

• Vectors have no vertical component

In a rotational vector field, what happens to the magnitude of vectors as you move farther from the origin?

• The magnitude decreases

• The magnitude remains constant

• The magnitude increases

• The magnitude becomes zero

What is the formula for a counterclockwise rotational vector field?

• Y, -X

• -Y, X

• X, Y

• -X, -Y

Which vector field has vectors pointing only in horizontal directions?

• X, 0

• 0, Y

• -X, Y

• Y, -X

In the vector field (0, Y), what happens when a point is on the horizontal axis?

• There is a strong vertical force

• There is no force

• There is a strong horizontal force

• The force is directed towards the origin

What type of vector field is described by the formula (-X, Y)?

• Rotational

• Radial

• Complex

• Horizontal

In a 3D radial vector field, what happens to the force as you move away from the origin?

• The force becomes zero

• The force decreases

• The force remains constant

• The force increases

What is the main focus of the next video following this introduction to vector fields?

• Stokes' theorem

• Divergence theorem

• Line integrals

• Surface integrals