Consider the plane in plane polar coordinates (r, ø). Let's write the radial basis vector A = (1,0) to cut down on notation a bit. The Christoffel symbols are given in Hartle's Example 8.3. (a) Compute all four components of V;Aj. (b) Draw some pictures like the ones in class and check them against your results. Just verify which components are positive, negative, or zero.

Fig: 1

Fig: 2

Fig: 3