This preview shows pages 1–3. Sign up to view the full content.
MATH 231, Calculus III, Section 1, Fall 2007
Test 1
Date: Sep. 26, Wednesday
Time: 10:00 am  10:50 am
Please write clearly, reduce answers to their simplest form, and box your answers.
To receive full credit you must show ALL your work.
Student's Name (Please print): __________________________________________
Pledge: On my honor as a student at the University of Virginia I have neither given nor received
aid on this test.
Signature: _______________________________
Problem
Points
Score
1
10
2
15
3
15
4
10
5
15
6
10
7
25
8 (Bonus)
10
Total
110/100
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
(10 points)
Let the vectors
a
and
b
be given by
a
=
j

k
and
b
= 2
i
+
j
+ 3
k
. Find:
(a) (2 points) the dot product of
a
and
b
(b) (4 points) the cross product of
a
and
b
(c) (4 points) the angle between the vectors
a
and
b
Problem 2
(15 points)
The velocity of a particle is given by
v
(
t
) = cos 2
t
i
+ sin
t
j
. If the position of the object at time
t
=
π
4
is at the point (2
,
0), ﬁnd its position vector.
1
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 04/24/2009 for the course CALC 2401 taught by Professor Stojanovic during the Spring '09 term at Georgia Institute of Technology.
 Spring '09
 Stojanovic
 Calculus

Click to edit the document details