gmmaro
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In non-orthogonal coordinate systems, can we say that changing a coordinate could result in changing another coordinate? That is, the coordinates are dependent on each other.
As I understood, non-orthogonal systems will have unit vectors (which are defined to point in the direction of increasing corresponding coordinates) not orthogonal to each other. Doesn’t that mean they could have components along each other’s direction? Thus if we move in the direction of one unit vector, we may “accidently” also move in the direction of another unit vector, yielding a change in another coordinate.
As I understood, non-orthogonal systems will have unit vectors (which are defined to point in the direction of increasing corresponding coordinates) not orthogonal to each other. Doesn’t that mean they could have components along each other’s direction? Thus if we move in the direction of one unit vector, we may “accidently” also move in the direction of another unit vector, yielding a change in another coordinate.