Left-Handed Coordinate System: Unit Vectors i,j,k

AI Thread Summary
The Cartesian coordinate system is a right-handed system, contrary to the initial assumption that it is left-handed. This misconception is common but not universally accepted, as some fields may use different conventions. The discussion humorously suggests that the friend's confusion may stem from their background in fields like geology or GPS, which sometimes utilize alternative coordinate systems. Overall, the conversation highlights the importance of understanding the context in which coordinate systems are applied. The Cartesian system remains predominantly recognized as right-handed in standard mathematics.
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A friend asked me this question today. It kinda threw me for a loop. The cartesian coordinates system is a left handed coordinate system right, so therefroe they are defined by a left handed coordinate syste correct?
 
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The Cartesian coordinate system is a right-handed system.
 


Your friend is playing with your mind!
 


Does your "friend" live in that square of glass in your bathroom and have an uncanny knack for mimickry?
 


Mark44 said:
The Cartesian coordinate system is a right-handed system.
Not necessarily. That is an extremely common, but not universal, convention.

HallsofIvy said:
Your friend is playing with your mind!
Or he/she is a geologist, or a radar technician, or a GPS specialist, or someone else who (danged annoyingly!) works with north-east-up coordinates.
 
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