Need help with this, please explain in details.

-The vector function of a circle in the plane 2 = D with center [ELEM], wii radius a traced out counter clock wise is given h},r Ffr} = {ncos[t}.,nsin{],) = n cloak}? +n shin} [TIE for I] St c 1r . lfthe circle is moved so the center becomes E , it remains in a plane parallel to z = and the vector function becomes FL!) = E +ocosljt)? +n'sin[.t]j for 5 I a: 2r. ,3 E E 33 m Now consider the circle in a general position where the b vectors i 3;} are replaced with new vectors i; 3.: In to obtain a general vector function for a circle rm = e +45! oos{.t]i';] +n sinu for I] E t a: 2n: . I a. What are the required conditions for i; 3.: In? Use these conditions to prove that the given equation gives the desired general circle with radius a. b. Find the vector mction for the circle that passes through the point [t],3, jhas a diameter with end points [1&0] and [],2,1]