MATH 234
FINAL EXAM
December 11, 2001
Name(print)__________________________ Student Number_________
Section Number_________
Page
1
2
3
4
5
6
Total
Points
Instructions:
1.Since grading will be based on method you must show all work
.
2.Boldfaced or lined letters indicate vectors such as
F
or
r
k
.
3.Check that your exam has the 12 problems.
4. No calculators or formula sheets
are allowed.
1.
(16 pts.) Let
A
= –2
i
+ 2
j
+
k
and
B
= 2
i
+ 6
j
– 2
k
a)
–
A
+ 2
B =
_______________________
b)
A
=
__________
c)
A
B
=
___________
d)
A
B =
_________________
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(18 pts.) A particle moves along a curve with velocity vector
r
v
=
r
i
+
2
t
r
j
+
t
2
r
k
,1
≤
t
≤
2
a)
At
t = 1 the particle is at the point
(0,
2
2
,
2
3
). Find
r
r
(
t
)
and
r
r
(2) .
b)
How far did the particle travel in going between these two points (that is, from t =
1 to t = 2)?
c)
Find the acceleration vector of the particle.
3.
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 Derivative, Work, pts, Student Number_________ Section, Number_________ Page Points

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