1
Physics 1D03 - Lecture 3
Vectors
•
Scalars and Vectors
•
Vector Components and Arithmetic
•
Vectors in 3 Dimensions
•
Unit vectors
i
,
j
,
k
Serway and Jewett Chapter 3
Practice Problems:
Chapter 3, problems
9, 23, 31, 49, 55
Physics 1D03 - Lecture 3
Physical quantities
are classified as scalars,
vectors, etc.
Scalar
: described by a real number with units
examples
:
mass, charge, energy . . .
Vector
: described by a scalar (its
magnitude
) and
a
direction in space
examples
:
displacement, velocity, force . . .
Vectors
have direction, and obey
different rules of arithmetic.
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Physics 1D03 - Lecture 3
Notation
•
Scalars : ordinary or italic font
(
m
,
q
,
t
. . .)
•
Vectors :
- Boldface font
(
v
,
a
,
F
. . .)
- arrow notation
- underline
(v
, a
, F
. . .)
•
Pay attention to notation :
“constant
v
” and “constant
v
” mean
different things!
.)
.
.
F
,
a
,
v
(
r
r
r
Physics 1D03 - Lecture 3
Magnitude :
a scalar, the “length” of a vector.
e.g.,
Speed,
v
= |
v
| (a scalar), is the
magnitude
of velocity
v
A
r
A
r
2
3
A
r
2
1
-
Multiplication:
scalar
×
vector = vector
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- Spring '09
- MCKAY
- Physics, Polar coordinate system, Jewett Chapter
-
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