A plane contains the points A(0, 0,5) , B(2,4,0) and C(6,1,1) . Point P given by (7,6,9) is not on the plane. Find each of the following, clearly showing the work that leads to your conclusions. Please put a box around your nal answers and the number of the problem clearly at the top of the box. Each problem is worth 10 points. 1. The distance from P to the plane containing A, B and C 2. The equations of the line containing P that is perpendicular to the plane 3. The point on the plane containing A B and C that is closest to P 4. The equation describing the points of intersection of the plane containing A, B and C with the plane given by x=y+5 5. The acute angle between the plane containing A, B and C and the plane given byx = y + 5