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Three Coordinates

Total questions: 13

Worksheet time: 4mins

Name
Class
Date
1.

The surface area for any coordinate is ...

a)

Scalar

b)

Vector

c)

Amplitude

d)

Magnitude

2.

The volume for any coordinate is ...

a)

Scalar

b)

Vector

c)

Amplitude

d)

Magnitude

3.

What are the basic vectors for any cartesian coordinate?

(a)  

4.

In cartesian coordinates, what is the differential surface area in the y-vector?

a)

dx dy

b)

dy dz

c)

dx dz

5.

What are the basic vectors for any cylindrical coordiante?

a)

rho, theta, z

b)

rho, phi, theta

c)

rho, phi, z

d)

z, phi, rho

6.

The range of the angle phi is from zero degree to (a)   ?

7.

In cylindrical coordinates, what is the differential surface area in the z-vector?

a)

rho d(rho) d(phi)

b)

rho d(phi) dz

c)

rho d(rho) dz

8.

In order to calculate a point "y" in terms of cylindrical coordinates

a)

y = rho sin(phi)

b)

y = rho cos(phi)

c)

y = rho tan(phi)

9.

In order to calculate the angle "phi" in terms of cartesian coordinates

a)

phi = tan inverse (x/y)

b)

phi = tan inverse (x/z)

c)

phi = tan inverse (z/x)

d)

phi = tan inverse (y/x)

e)

phi = tan inverse (y/z)

10.

What are the basic vectors for any spherical coordinate?

a)

r, phi, theta

b)

rho, theta, phi

c)

r, theta, phi

11.

The range of the angle theta is from zero degree to (a)   ?

12.

In order to calculate a point "x" in terms of spherical coordinates

a)

x = r sin(theta) sin (phi)

b)

x = r sin(theta) cos(phi)

c)

x = r cos(theta) sin(phi)

d)

x = r cos(theta) cos(phi)

13.

What is the differential volume for any spherical coordinates?

(a)