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VECTOR TUTORIAL
What is a vector?
For introductory physics, a vector is an entity having the
characteristics of magnitude and direction.
Since vectors are used throughout physics
and engineering, we must learn how to add, subtract, multiply, and divide vectors.
If we take a vector v and multiply it by the scalar 3, we get another vector whose
magnitude has increased by a factor of 3.
The vector’s direction does not change.
For
example,
r
=
v
t.
The position vector,
r
,
is in the same direction as the velocity vector,
v
.
The scalar t does not affect the direction of the vector.
A vector times a scalar always
yields a vector in the same direction as the original vector.
Its magnitude will change if
the scalar does not have a magnitude of one.
A vector divided by a scalar also produces a
vector in the same direction as the original.
How do we add/ subtract two or more vectors that point in different directions?
How do
we multiply or divide vectors that point in different directions?
We need to find the parts
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This note was uploaded on 04/29/2010 for the course PHYSICS 195 taught by Professor Goldstein during the Spring '10 term at Mesa CC.
 Spring '10
 goldstein
 Physics

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