I recently started EE 1, and was confused by the jump from cylindrical coordinates to cylindrical vectors
In the past, I've just converted between cartesian and cylindrical via:
p = sqrt(X^2 + Y^2) theta = atan(y/x) z = z
and so on
I don't understand why you can't apply these equations to a cartesian vector in order to get a cylindrical vector. How exactly does a cylindrical vector work? My EE textbook is a piece of crap in terms of explaining math theory and we never learned cylindrical vectors in previous classes. I assumed they were pretty similar to cartesian vectors.
Here's the question I'm referring to:
"express in cylindrical components the vector from C(3, 2, -) to D(-1, -4, 2)"
I've tried finding the cartesian vector in between the two and converting to cylindrical (by formulas given above).
here is the answer given:
-6.66ap - 2.77aphi + 9az
can someone please either explain or suggest a better resource for figuring this out?