Only Calculus 3 proficient, please. Please see attached question, provide the accurate solution with neat all steps, easy to read & follow. Please pay attention to messages in case.

Note: I rate every answer based on accuracy and clarity. Please pay attention to the communication in case I have a question.

a) Find a vector orthogonal to the plane passing through the points P (1,2, 1), Q(2,1, -3) and R(3, 1,5). b) Find an equation of the plane in part (a). c) Find the parametric equations of the line through the point (1,3,-2) and parallel to the vector V = . d) Find the intersection point of the line in part (c) with the yz-plane