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
This preview has intentionally blurred sections. Sign up to view the full version.
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.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '11
 KODERA
 Physics, Addition, Vector Space, scalar components

Click to edit the document details