In Differential and Riemannian Geometry we study metric cylindrical coordinates $(r, \theta, z).$ I am preparing its Multiple choice questions,
Q. The metric coefficients in cylindrical coordinates are
(a) $(1,1,1)$ (b) $(1,0,1)$ (c) $(1,r,1)$ (d) neither
Can anyone explain, what are metric coefficients in general?
what is relationship between metric tensor and metric coefficient?
How is it related to $ds^2=dr^2+r^2d\theta^2+dz^2$? From here i am guessing the answer (1, r^2, 1) am I right?? Thanks