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Math 250 Midterm #1. September 10, 2004
Attention! Please, note that this is the closed book test. You are not allowed to use graphing
calculator. Simple calculators are allowed. Please, show all important steps in you solution but do
not make your solution excessively long.
1. (15pt) Which from the following three vectors are perpendicular to each other?
(1, 3, 5), (2, 3, 1), (4, 3, 1).
2
2. (20pt) Write the equation of the sphere of radius 3 that is touching coordinate
planes XY , XZ, and x = 3 plane. (Making a sketch may be instructive)
Midterm 1. Name: ID: 3
3. (15pt) Find a vector v which is perpendicular to both lines
x  3
2
=
y + 1
1
