anonymous
  • anonymous
Parametrize a disk of radius a which lies on the yz plane and is oriented clockwise when viewed from the positive x-axis.
Mathematics
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anonymous
  • anonymous
Parametrize a disk of radius a which lies on the yz plane and is oriented clockwise when viewed from the positive x-axis.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
I'm not too sure about what you mean by 'oriented clockwise'. I'm going to assume you mean that the position vector rotates clockwise when we view down along the positive x-axis. If the disk lies in the y-z plane, with y horizontal and z vertical, then the position vector will be, \[(y,z)=({a}\cos(-{\theta}),{a}\sin(-{\theta}))=({a}\cos({\theta}),-{a}\sin({\theta}))\]Setting
anonymous
  • anonymous
\[\theta \rightarrow -{\theta}\]will allow the position vector to rotate clockwise as you increase theta. I hope this is what you're looking for.
anonymous
  • anonymous
Yes, thank you.

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