Please make sure answers are 100% correct

Question 1 (27 points) 2 1. a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with equation # = (6, 1, 1) + t(-2, 1, 3). b) Determine two other points on this line 2. Find the value of k so that the lines x -3 y+6 z+3 and x +7 y+8 2+9 3k +1 2 2k -2k -3 are perpendicular. 3. Determine parametric equations for the plane through the points A(2, 1, 1), B(0, 1, 3), and C(1, 3, -2)