Consider the points P = (3, 2, 1) and Q = (1, 2,3) in three-dimensional space. a. Let L be the line through P and Q. Give an equation which describes L (i.e. a parameterization). b. Let H be the plane which contains the triangle AOPQ, where O is the origin. Give an equation which describes H. c. Let k be the set of points which are equidistant from P and Q. What does K look like? Give an equation which describes K. ( Expand both sides of your equation, and simplify as much as possible). d. Let M be the set of points which are equidistant from all three points O, P, and Q. What does M look like? Give an equation which describes M. e. Using the equations you found, show that L is perpendicular to K, and H is perpendicular to M. You must explicitly identify the parts of the equations which show this