Which of the arrangements of axesin the question can be labeled “right-handedcoo

Question

Which of the arrangements of axesin the question can be labeled “right-handedcoordinate system”? As usual, each axis label indicates thepositive side of the axis. [please note that if you go to view the solution for thisquestion, you will be able to see the axes needed for thisquestion] I am having trouble understanding how to use the right handrule for this question because i know how to use the rule when avectors are given but in this case there arent any Which of the arrangements of axesin the question can be labeled “right-handedcoordinate system”? As usual, each axis label indicates thepositive side of the axis. [please note that if you go to view the solution for thisquestion, you will be able to see the axes needed for thisquestion] I am having trouble understanding how to use the right handrule for this question because i know how to use the rule when avectors are given but in this case there arent any

Explanation / Answer

I can help you answer this question without seeing theaxes. Since you say you know how to use the RHR, here's what todo. Consider a vector A to lie along the positive direction of thex-axis, and a vector B to lie along the positive direction of they-axis. Then the coordinate system will be right-handed if and only ifthe direction of   A cross B (as determined by using theRHR) lies in the positive direction of the Z-axis. so, take all of the choices one-by-one, and test them usingthe above procedure to find which coordinate systems are righthanded.

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