Objective:
In this section you will learn to write the component forms of vectors, perform basic
vector operations, and find the direction angle of vectors.
You will also learn to find the dot
product of two vectors and find the angle between two vectors.
I.
Introduction
A scalar is a _______________________ _____________________.
What are some things
that we can measure with scalars?
Sometimes we need to measure things that include both a
magnitude
and a
direction
.
This is when
we need vectors.
Examples:
A
vector
is a _________________________ _____________________
_______________________.
The length of the line segment is the
__________________________ of the vector, and the direction of the vector is measured by an
angle.
For the vector
Q
, P is the ____________________ point and Q is the
____________________ point.
P
If we label the above vector as vector
v
, we can write it as
v
,
PQ
,
v
, or
PQ
.
The
magnitude
of the directed line segment
PQ
,
denoted by _____________, is its
____________________.
Equivalent vectors have the same _______________________ and
_____________________________.
Thus we can place our vectors in standard position on our
coordinate system.
Section 7.4  Vectors
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II.
Component Form of a Vector
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 Fall '11
 PamelaSatterfield
 Linear Algebra, Vectors, Vector Space, Dot Product

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