Right hand rule three d coordinate system

In summary, the right hand rule is a method used in a three-dimensional coordinate system to determine the direction of a vector or the orientation of the coordinate system. It is applied by placing the hand in a specific position and curling the fingers to represent the positive directions of the axes. It is only applicable for right-handed coordinate systems and is used in vector mathematics, electromagnetism, and mechanics.
  • #1
Tiven white
58
0

Homework Statement


If z is up and x is west they y is what direction
A. West
B. Down
C. Up
D. East
E. South


Homework Equations





The Attempt at a Solution



I tried applying the rule and obtained south as my answer would anyone be able.to provide a.solution
 
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  • #2
Yes...south is the right answer .
 
  • #3
I should remind it that south is the right answer if you're dealing with a right-handed system.
 

Related to Right hand rule three d coordinate system

1. What is the purpose of the right hand rule in a three-dimensional coordinate system?

The right hand rule is used to determine the direction of a vector in a three-dimensional coordinate system. It is also used to determine the orientation of a coordinate system, with the thumb representing the positive direction of the z-axis, the index finger representing the positive direction of the x-axis, and the middle finger representing the positive direction of the y-axis.

2. How is the right hand rule applied in a three-dimensional coordinate system?

To apply the right hand rule, place your hand with your fingers in the positive direction of the x-axis and curl your fingers towards the positive direction of the y-axis. Your thumb will then point in the positive direction of the z-axis, indicating the direction of the vector or orientation of the coordinate system.

3. Can the right hand rule be used for both right-handed and left-handed coordinate systems?

No, the right hand rule is only applicable for right-handed coordinate systems. For left-handed coordinate systems, the left hand rule must be used, where the thumb points in the negative direction of the z-axis.

4. How does the right hand rule relate to the cross product in vector mathematics?

The right hand rule is used to determine the direction of the resulting vector when performing a cross product. The order in which the vectors are crossed determines whether the resulting vector points in the positive or negative direction of the z-axis.

5. Are there any other applications of the right hand rule in science or engineering?

Yes, the right hand rule is also used in electromagnetism to determine the direction of the magnetic field around a current-carrying wire. It is also used in mechanics to determine the direction of torque in a rotating object.

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