Unit IV:
Introduction to Vector Analysis
As you learned in the last unit, there is a difference between speed and velocity.
Speed is an example of a
scalar
: a quantity that has only magnitude.
Velocity is an
example of a
vector
: a quantity that has both magnitude and direction.
Velocity is a
more useful description of an object's motion than just the speed because the
direction of motion is often important to know.
For example, you know that if your plane is heading north on a windy day, you want
to know which way as well as how hard the wind is blowing.
To handle this sort of
problem we need to learn how to work with vectors.
Graphical Method
When you
add
two vectors graphically, you simply move vector B so that its tail is
placed at the tip of vector A, then draw the resultant vector the from the tail of A to
the tip of B.
Subtraction is accomplished by simply
adding the opposite
of the
vector.
In the most trivial case of vector addition, suppose that A represents your
velocity and B represents the wind velocity.
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 Fall '11
 Dr.LairdKramer
 Trigonometry, Addition, 0°, 115°, 81.8°, 98.2°

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