In this chapter we will learn about vectors, (properties, addition, components of vectors)

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Chapter 3 Vectors
Reading assignment Chapter 3.3-3.4 Homework 4
(due Monday, Sept. 5, 2005) Chapter 3 26, 35,
44, 57, 62, 66 Remember Homework 2 is tonight
at 10 pm

• WebAssign ok?
• Everything all right in lab?
• Questions?

• In this chapter we will learn about vectors,
  (properties, addition, components of vectors)
• Multiplication will come later

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TUTOR HOMEWORK SESSIONS This years tutors
Jerry Kielbasa, Matt Rave, Christine Carlisle
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
4-6 Jerry 5-7 Christine 4-6 Jerry 5-7 Matt   3-5 Jerry  
6-8 Christine 6-8 Matt
  All sessions will be in room 103 (next to
lecture room).     Tutor sessions in semesters
past were very successful and received high marks
from students. All students are encouraged to
take advantage of this opportunity.  

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Vectors Magnitude and ____________ Scalars
Only Magnitude A scalar quantity has a single
value with an appropriate unit and has no
_______.
Examples for each Vectors Scalars
Motion of a particle from A to B along an
arbitrary path (dotted line). Displacement is a
vector
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Coordinate systems Cartesian coordinates
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• Vectors
• Represented by ____________ (example
  displacement).
• ____________ points away from the starting
  point.
• Length of the arrow represents the ____________
  
• In text a vector is often represented in bold
  face (A) or by an ____________ over the letter.
• In text ____________ is written as A or

These four vectors are equal because they have
the same ___________ and same ___________
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Adding vectors
Graphical method (triangle method)
Draw vector A. Draw vector B starting at the
tip of vector A. The resultant vector R A B
is drawn from the tail of A to the tip of B.
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Adding several vectors together.
Resultant vector RABCD is drawn from the
tail of the first vector to the tip of the last
vector.
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Commutative Law of vector addition
A B ______
(Parallelogram rule of addition)
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Associative Law of vector addition
A(BC) (AB)C
The _____________ in which vectors are added
together does not matter.
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Negative of a vector. The vectors A and A have
the same magnitude but opposite
____________________. A (-A) 0
A
-A
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Subtracting vectors
A - B A (-B)
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Blackboard example 3.1
A car travels 20.0 km due north and then 35.0 km
in a direction 60 west of north as shown in the
figure. Find the magnitude and direction of the
cars resultant displacement.
We cannot just add 20 and 35 to get resultant
vector!!