Math 032 Take home Quiz (5 pts) Name ___________________________ due Thursday, 2-19 at the beginning of class 1. Next to each picture put the letter corresponding to one of the following equations. Assume that the coordinate system for each picture is the standard one with the y-z plane (z vertical) in the plane of the paper . (a) y2= x2 + z2 (d) z = y2 - x2 (b) x2= y2 + z2 (e) x2 -y2 - z2 = 1 (f) y = x2 (c) -x2 -y2 + z2 = 1 (g) x2+ y2 - z2 = 1 2. Find the equation of the plane through the points P (1,-1,1), Q(2, -1,3), R(2,2,2). 3. Find the symmetric equations for the line that passes through the point (1, 0, 1) and is parallel to the line with parametric equation x = 2 + 3t, y = 4 t, z = 3 + 2t. 4. Find the equation of the plane consisting of all points equidistant for the points P ( 1, 3, 5) and Q (3, 1, 1). (Hint: the vector PQ will be a normal to the plane).