Understanding the Right Hand Rule: Determining Direction Using Cross-Products

In summary, the correct answer is E. Down. The direction of x can be either up or down, but based on the given choices, it must be down. The equation for the cross-product vector x is x = y x z or x = z x y.
  • #1
Tiven white
58
0

Homework Statement



If z is east and y is north then x is?
A. West
B. East
C. North
D. South
E. Down

Homework Equations


I have trued getting the proper orientation but the direction I would have obtained is not an option 'up' a comment would be appreciated


The Attempt at a Solution

 
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  • #2
Obviously, it can be either up or down. Assuming one of the given answers must be correct, that must be "down".

To see that, you would need to twist your arm quite severely. Align your middle finger (Z) with East and your index finger with South. Then your thumb will be Up. Now to make your index index finger point North as described, you would need to rotate your hand about your middle finger.
 
  • #3
You did not define the equation for the cross-product vector x.

If x = y x z then x is down.
If x = z x y then x is up.

EDIT: OK, never mind, you did not have "up" as one of your choices. So voko answered the question.
 

Related to Understanding the Right Hand Rule: Determining Direction Using Cross-Products

1. What is the "Another right hand rule test" in science?

The "Another right hand rule test" is a method used in physics to determine the direction of a magnetic field in relation to the direction of an electric current. It is also known as the "right hand grip rule."

2. How does the "Another right hand rule test" work?

The "Another right hand rule test" works by using the right hand to represent the direction of current flow and the fingers to represent the direction of the magnetic field. When the thumb points in the direction of the current and the fingers curl in the direction of the magnetic field, the palm of the hand will point in the direction of the force acting on the conductor.

3. What are the practical applications of the "Another right hand rule test"?

The "Another right hand rule test" is commonly used in motors, generators, and other electromechanical devices to determine the direction of the resulting force or torque. It is also useful in determining the direction of magnetic fields in various electronic circuits.

4. Is the "Another right hand rule test" the same as the "right hand rule"?

No, the "Another right hand rule test" and the "right hand rule" are different methods used to determine the direction of magnetic fields. While the "right hand rule" is used for determining the direction of a magnetic field around a current-carrying wire, the "Another right hand rule test" is used for determining the direction of the force acting on a current-carrying conductor in a magnetic field.

5. Are there any variations of the "Another right hand rule test"?

Yes, there are variations of the "Another right hand rule test" that are used for specific applications. These include the "right hand palm rule" and the "right hand claw rule." These variations use the same concept of using the right hand to determine the direction of the force or torque in a magnetic field.

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