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sara_87
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1. Homework Statement [/b]
Let e_r=(cos[tex]\theta[/tex],sin[tex]\theta[/tex]) and e_theta=(-sin[tex]\theta[/tex],cos[tex]\theta[/tex]).
Let P(r,[tex]\theta[/tex]) be a point with e_r and e_theta at that point.
What can you say about the three quantities (e_r, e_theta and the point P) as r and [tex]\theta[/tex] vary?
r: distance from origin
[tex]\theta[/tex]: angle
As r moves around, the e_r and e_theta change place. As r increases or decreases e_r and e_theta don't change place but as theta changes, they do change place since e_theta is always orthogonal to point P.
I feel like I'm not putting enough information. Is there something i didn't mention?
Thank you.
Let e_r=(cos[tex]\theta[/tex],sin[tex]\theta[/tex]) and e_theta=(-sin[tex]\theta[/tex],cos[tex]\theta[/tex]).
Let P(r,[tex]\theta[/tex]) be a point with e_r and e_theta at that point.
What can you say about the three quantities (e_r, e_theta and the point P) as r and [tex]\theta[/tex] vary?
Homework Equations
r: distance from origin
[tex]\theta[/tex]: angle
The Attempt at a Solution
As r moves around, the e_r and e_theta change place. As r increases or decreases e_r and e_theta don't change place but as theta changes, they do change place since e_theta is always orthogonal to point P.
I feel like I'm not putting enough information. Is there something i didn't mention?
Thank you.