What is the Direction of x Using the Right Hand Rule?

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SUMMARY

The discussion centers on determining the direction of the x-axis using the Right Hand Rule in a three-dimensional coordinate system. Given that z represents east and y represents south, the correct answer for x is up. The Right Hand Rule dictates that when the fingers point from y to z, the thumb points in the direction of x, confirming that x is indeed up.

PREREQUISITES
  • Understanding of three-dimensional coordinate systems
  • Familiarity with the Right Hand Rule
  • Basic knowledge of vector directions
  • Concept of positive and negative axes in Cartesian coordinates
NEXT STEPS
  • Study the Right Hand Rule in detail for vector analysis
  • Explore three-dimensional coordinate systems and their applications
  • Learn about vector cross products and their geometric interpretations
  • Investigate common mistakes in interpreting vector directions
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators teaching coordinate systems and vector mathematics.

Tiven white
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Homework Statement


If z = east and y = south, then x = ______?
Select one:
a. east
b. up
c. south
d. north
e. down


Homework Equations





The Attempt at a Solution


using the right hand rule the answer i got is south is this correct?
 
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that can't be right because y is already south

you know z=east so that -z=west and y=south so that -y=north so what else is left for x?
 
jedishrfu said:
that can't be right because y is already south

you know z=east so that -z=west and y=south so that -y=north so what else is left for x?

really sorry i meant up is that correct?
 
Tiven white said:
really sorry i meant up is that correct?
Yes. Rotating y into z gives x for your thumb.
 

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