Question

general curvilinear coordinates? definition and formula?​

Answer 1

Definition:-

curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. .

Formula:-

J = la~i/axjl =I- 0 everywhere. Surfaces ~i = const (i = 1,2,3) are called coordinate surfaces and pairs of these surfaces intersects along coordinate curves. If the coordinate surfaces intersect at an angle :rr /2, the curvilinear coordinate system is called orthogonal.