Subtraction of Two Complex Numbers
If we have two complex numbers
and
then we can subtract one complex number from another complex number.
and
then we can subtract one complex number from another complex number.
then we can subtract one complex number from another complex number.
Graphically complex subtraction is the same as vector subtraction. We reverse the direction of B and then draw a vector parallel to
and
, and then connect the origin to the new point. Diagram below illustrates complex subtraction. Geometrically subtracting a complex number
with a complex number
will translate
to the left with amount of
and shifted downward with amount of
.
and
, and then connect the origin to the new point. Diagram below illustrates complex subtraction. Geometrically subtracting a complex number
with a complex number
will translate
to the left with amount of
and shifted downward with amount of
.
, and then connect the origin to the new point. Diagram below illustrates complex subtraction. Geometrically subtracting a complex number
with a complex number
will translate
to the left with amount of
and shifted downward with amount of
.
with a complex number
will translate
to the left with amount of
and shifted downward with amount of
.
will translate
to the left with amount of
and shifted downward with amount of
.
to the left with amount of
and shifted downward with amount of
.
and shifted downward with amount of
Complex Number Calculator
Properties of Complex Subtraction
-
Zero complex number
is the identity element of complex subtraction because
is the identity element of complex subtraction because
-
-
If
is a complex number then the negative complex number
is a complex number then the negative complex number
-
Commutative
-
Associative
See Also : Complex Arithmetic , Complex Addition
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