Original Post
I understand essentially what the covariant derivative is and how it works, I'm just having a hard time solving for it. I read the following example in a text boox. Given a vector field w = sinz*e1 + cosz*e2 + (x^2 + y^2)*e3 and a vector v = 3*e1 -2*e2 + e3, find the coviariant derivative of w in the direction of v. Hence find ^vW, where the ^ is the upside down triangle. Anyway, the book said that the covariant derivative was cosz*e1 - sinz*e2 + (6x-4y)*e3. I do not understand how you get this answer. Can anyone help ?
