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1
Math 10C Exam 2
Review Outline
Basic Information for the Midterm Exam:
The exam will consist of approximately
5 questions, with multiple parts
.
You will
not
be allowed a calculator on the exam, so please do not bring one.
You
should
bring a number two pencil. (You can bring more than one if you feel so
inclined.) You are
not
permitted a page of notes, but a reference sheet with relevant
formulas
will
be provided on the exam. Also
bring your student ID
card
, as we will be
checking those at the exam.
We reserve the right to place your backpacks in the front of the class. Also, don’t worry
about bringing a blue book, as you will be able to write directly on the exam.
The exam will be held
in class
(Peterson 110) on
Wednesday, May 23
rd
, 2007
.
You should have sufficient time to go back through your work and check your math.
Remember,
does your answer make sense?
(Draw a picture/plug numbers in.)
Do not cheat on this exam. Cheating will be taken seriously and
you will fail the course
.
So, please do not cheat.
Also, solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10c/
some time after the exam so you can get a rough idea how you did (by Friday). Exams
will be returned in section on Tuesday, May 29
th
.
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View Full DocumentMath 10C Exam 2 Review Outline
2
Sections 13.1 / 13.2: Displacement Vectors / Vectors in General
Know how to add and subtract vectors.
Know how to multiply vectors by a scalar multiple and what this does to the
magnitude (length) of a vector.
Know how to the find length of a vector. (This is essentially just the distance formula.)
 ex. Gilligan walks due east at 2 miles/hour on the deck of the HMS Friday as it
steams due south at 12 miles/per hour. Find the speed and direction of
Gilligan relative to the surface of the water.
Know how to find a unit vector from an arbitrary vector
 ex. Suppose
v
= 3
i
+ 4
j
+ 12
k
. Find a unit vector in the direction of
v
.
 ex. Find a unit vector perpendicular to
i
–
j
+
k
.
Know how to break vectors into their components.
 ex. Break the vector connecting
P
(1, 0, 1) and
Q
(2, 4, 5) into components.
Know the properties of addition and scalar multiplication (see page 661)
Section 13.3: The Dot Product
Know how to take the dot product of two vectors. (Know both formulas.)
Know how to use the properties of the dot product to find out information about vectors
 ex. If
0
⋅=
ab
G
G
, what can we say about
a
G
and
b
G
?
 ex. Suppose
v
=
i
–
j
+
k
and
w
=
i
+ 2
j
. Compute
v
ÿ
w
. What is the angle between
v
and
w
? Find a unit vector in the direction of
v
.
Know how to compute the angle at the vertex of a point in 3space
 Form two vectors that start at the point and find the angle between them using
the dot product
Know that
2
vv v
GG G
, then length of
v
, squared.
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 Spring '07
 Hohnhold
 Math

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