 
Summary: Math 2210 Practice Test 2,
Test is Thursday March 18th in class.
Rules: You are permitted a single 81
2
× 11 sheet of notes,
notes may be on both sides. There are six sections on this
test each of which has three problems. Hand in one problem
from each section. If multiple problems are handed in I will
pick which one to grade based on which looks easiest to grade.
The test is graded out of 120 points  be sure the problems
you pick total enough to obtain the grade you require.
1 Three Space Geometry
Problem 1 10pts Find the intersection of the line
t · (1, 1, 2) + (1, 0, 3)
and the surface x2
+ y2
+ z2
= 25.
Problem 2 15pts Find the normal plane to the space
curve (t · sin(t), t · cos(t), 2t + 1) at t =
