Tufts University
Math 13
Department of Mathematics
February 22, 2007
Exam 1
This exam consists of 10 problems which are not necessarily in increasing order of di±culty.
Show all your work,
explain, simplify, and box
all your answers. Except for problems 1 and
10, an answer without an explanation will receive
no credit
. No calculators, notes, or books
are allowed on this exam. You are required to sign your exam book. With your signature you
are pledging that you have neither given nor received assistance on this exam. Students found
violating this pledge will receive an F in the course.
1. (10 points) True or False? Do not explain your answers in this problem.
(a) The planes 2
x
+ 4
y
−
2
z
= 4 and
x
+ 2
y
−
z
+ 7 = 0 are parallel.
(b) The lines given by the equations
x
= 2+ 3
t,y
=
−
1
−
t,z
= 3
−
t
and
x
=
−
3+
t,y
=
2
t
−
1
,z
= 2
t
intersect at the point (
−
1
,
0
,
4).
(c)
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 Fall '07
 Weiss
 Math, Vector Motors, Parametric equation

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