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Lecture 3
pls3.1
Vectors
Media: 1.
Tennis ball
2.
Fendt web site—vector addition demo
1.
Introduction to Vectors
A vector
is a quantity that has both magnitude
(size) and direction
.
Example:
The displacement
of a tennis ball from one position to
another position is a vector quantity.
Graphically represent a vector with an arrow.
Mathematically represent position (vector) with the symbol
A
r
.
The tennis ball can be moved again, through the displacement
B
r
,
producing the total displacement
R
r
. The relationship of
A
r
,
B
r
and
R
r
is
expressed as
B
A
R
r
r
r
+
=
.
Arrow indicates a
vector quantity.
A
r
B
r
R
r
magnitude
= 1 m (from origin) = length of arrow
direction
= northeast of origin = direction arrow points
North
A
r
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View Full DocumentLecture 3
pls3.2
2.
Graphical Vector Algebra
i.
Addition
.
Fendt web site
.
“Head to Tail” Translate one vector
until its tail is at the head of the other vector.
Translate either
vector.
ii.
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 Fall '11
 KODERA
 Physics

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