Phys116 Problem Set 1
Due: Friday, Sept. 5, 2003 before the start of class.
This problem set will be unusual in that we will be covering the related material in class
at the same time that you work through the problems.
Usually, I will aim for the lectures
to be a little ahead of the problem sets.
However, try to figure out these problems from
your background in previous courses or from the textbook.
Please communicate your reasoning in your solutions, concisely and clearly.
Efforts are
as important as correct answers.
Please put your TA’s name at the top of your problem set.
(John Read or Josh Parks)
1.
Given two vectors
r
A
=
2
ˆ
i
+
ˆ
j

4
ˆ
k
and
r
B
= 
ˆ
i
+
3
ˆ
j
+
2
ˆ
k
find:
(a)
r
A +
r
B
(b)
r
A

r
B
(c)
r
A
⋅
r
B
(d)
r
A
r
B
(e)
The angle
q
between
r
A
and
r
B
, expressed in both radians and degrees.
Choose the value between 0 and
p
radians.
2.
Kleppner and Kolenkow (K&K), Problem 1.4.
(prove without using any diagrams)
Show that if
r
A

r
B
=
r
A
+
r
B
, then
r
A
is perpendicular to
r
B
.
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