Generalized coordinates- scalar product

[JimKC]

Homework Statement

a: In plane polar coordinates, find the scalar product of the vector (0,1) with itself.
b: What would be the r, θ components of the unit vector in the θ direction?

Homework Equations

Scalar product of 2 vectors = A^αg_αβB^β

The Attempt at a Solution

For part a, I used the equation above to determine the scalar product of (0,1) with itself is r².
Assuming that's correct, I'm really stuck on part b and not sure what to do.

 

[hilbert2]

It's pretty much the same as the question "what is the length of a unit vector?". You should know an answer to that.