Spherical Coordinate Systems Quiz

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What does the radial distance 'r' represent in spherical coordinates?

Distance of the point from the fixed point of origin (correct)

Distance of the point from the x-axis

Distance of the point from the z-axis

Distance of the point from the y-axis

How is the polar angle 'θ' measured in spherical coordinates?

Between the x-axis and the y-axis

Between the y-axis and the radial line

Between the x-axis and the radial line

Between the z-axis and the radial line (correct)

What does the azimuthal angle 'φ' measure in spherical coordinates?

Angle between the radial line and the y-axis

Angle between the radial line and the x-axis

Angle between the radial line and the x-y plane (correct)

Angle between the radial line and the z-axis

Which plane is orthogonal to the z-axis in the spherical coordinate system?

Reference x-y-plane Signup and view all the answers

What are the three numbers in a spherical coordinate system called?

3-tuple Signup and view all the answers

What is the radial distance 'r' in a spherical coordinate system?

The distance of the point from the fixed point of origin Signup and view all the answers

How is the polar angle 'θ' measured in spherical coordinates?

Between the z-axis and the radial line Signup and view all the answers

What does the azimuthal angle 'φ' measure in spherical coordinates?

The angle between the radial line and the x-y plane Signup and view all the answers

Which plane is orthogonal to the z-axis in the spherical coordinate system?

The x-y plane Signup and view all the answers

What are the three numbers (r, θ, φ) in a spherical coordinate system collectively called?

A 3-tuple Signup and view all the answers

Spherical Coordinate Systems Quiz

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Questions and Answers

What does the radial distance 'r' represent in spherical coordinates?

How is the polar angle 'θ' measured in spherical coordinates?

What does the azimuthal angle 'φ' measure in spherical coordinates?

Which plane is orthogonal to the z-axis in the spherical coordinate system?

What are the three numbers in a spherical coordinate system called?

What is the radial distance 'r' in a spherical coordinate system?

How is the polar angle 'θ' measured in spherical coordinates?

What does the azimuthal angle 'φ' measure in spherical coordinates?

Which plane is orthogonal to the z-axis in the spherical coordinate system?

What are the three numbers (r, θ, φ) in a spherical coordinate system collectively called?

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