A problem involving hybrid component forms

[Rumor]

Homework Statement

Okay, I'm reopening this question because I didn't understand it as well as I thought I did.

"a) Write r-hat_c and phi-hat in hybrid component form ( )i + ( )j where the parentheses represent polar coordinate expressions.

b) Now use these hybrid expressions to take the derivatives of r-hat_c and phi-hat, as hybrid expressions, and then re-express them in terms of polar coordinates only."

Homework Equations

dr = (r-hat)dr + (theta-hat)r*d(theta) (Maybe? I'm not too sure.)

The Attempt at a Solution

I'm not exactly sure what to do or how to do it. If anyone could help get me started, at least, I'd appreciate any help given!

 

[diazona]

My hint would be to forget about part b (and, indeed, about derivatives) until you've completed part a.

Try drawing a picture showing the various unit vectors involved.