Length of bases in Polar coordinates

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  • Thread starter smodak
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  • #1
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Main Question or Discussion Point


According to this video the length of basis
Inline57.gif
is r. It grows as we further from the origin . Why?
 

Answers and Replies

  • #2
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There is not really a "length" of it, but you can consider how far you move if you move by a small ##\epsilon \hat \theta##, the length increases with the radius.
 
  • #3
447
233
There is not really a "length" of it, but you can consider how far you move if you move by a small ##\epsilon \hat \theta##, the length increases with the radius.
Thanks. That makes sense. But why would the 'length' be r as Pavel Grinfeld says in the video.
 
  • #4
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Set ##\epsilon=1##. With 2 pi you get a length of 2 pi r, with 1 you would expect a length of r. Sort of.
 

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