Geometric Representation Of Complex Numbers
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1
211.2:
Geometric
Representation
of
Complex
Numbers
Objective:
To
write
complex
numbers
in
polar
form
and
to
find
products
in
polar
form.
In
order
to
represent
complex
numbers
geometrically,
you
use
an
Argand
Diagram
to
represent
the
complex
plane.
To
represent
the
complex
number
3 + 4i ,
it
can
be
drawn
as
the
point
(3,4)
or
by
an
arrow
from
the
origin
to
(3,4).
The
point
representing
the
complex
number
z = a + bi
can
be
given
in
either
rectangular
or
polar
coordinates.
€
Rectangular
form:
Polar
Form:
€
The
length
of
the
arrow
representing
z
is
the
absolute
value
of
z
and
is
defined
as
_________________________.
***Answers
are
given
in
terms
of
__________________________________
and
________________________________.
€
€
Example
#1:
Express
2cis50°
in
rectangular
form.
€
Rectangular
form
is
__________________.
∴2cis50° ≈ ________________________
1
€
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