Given the relation of the cylindrical coordinate system rr cos oir sin oj + zk Lets define vectors er, eo, and e, that indicate the direction of the vectors in the cylindrical coordinate system. Using the definition ei = r1 =r, r = 0, r = N r-19 (a) The gradient of a scalar function in Cartesian coordinates is given by 3 V = . . = i+ -j+ k= e, e = i, i, =j, k = xi i=1 Using the chain rule, prove that Vy = 1 1 -r + + er ar |e| 1 ez z z Acti Go to