Does Measurement in the X Direction Affect Y Coordinate in Quantum Systems?

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Amith2006
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Does x & y directions commute? Seem trivial! Just wondering whether any measurement made in the x direction affect it's y coordinate.
 
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The position operators in different dimensions do commute with each other. Same with momentum. But it's not always the case that the different components of a vector operator commute - for example, angular momentum.