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1. a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with equation F = (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 3k +1 2 2k x +7 y +8 z+9 are perpendicular. 3 -2k -3 3. Determine parametric equations for the plane through the points A(2, 1, 1), B(0, 1, 3), and C(1, 3, -2)