All Abstract Algebra Resources
Example Questions
Example Question #7 : Abstract Algebra
Identify the following definition.
For some subfield of , in the Euclidean plane
, the set of all points
that belong to that said subfield is called the __________.
None of the answers.
Plane
Constructible Line
Angle
Line
Plane
By definition, when is a subfield of
, in the Euclidean plane
, the set of all points
that belong to
is called the plane of
.
Example Question #8 : Abstract Algebra
Identify the following definition.
Given that lives in the Euclidean plane
. Elements
,
, and
in the subfield
that form a straight line who's equation form is
, is known as a__________.
Angle
Circle in
Line in
Plane
Subfield
Line in
By definition, given that lives in the Euclidean plane
. When elements
,
, and
in the subfield
, form a straight line who's equation form is
, is known as a line in
.
Example Question #1 : Fields
Identify the following definition.
Given that lives in the Euclidean plane
. Elements
,
, and
in the subfield
that form a straight line who's equation form is
, is known as a__________.
Subfield
Angle
Line in
Plane
Circle in
Line in
By definition, given that lives in the Euclidean plane
. When elements
,
, and
in the subfield
, form a straight line who's equation form is
, is known as a line in
.
Example Question #2 : Fields
Identify the following definition.
If a line segment has length and is constructed using a straightedge and compass, then the real number
is a __________.
Plane
Angle
Constructible Number
Magnitude
Straight Line
Constructible Number
By definition if a line segment has length and it is constructed using a straightedge and compass then the real number
is a known as a constructible number.
All Abstract Algebra Resources
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