All Abstract Algebra Resources
Example Questions
Example Question #2 : Fields
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 __________.
Plane
Constructible Line
Angle
Line
None of the answers.
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 #3 : 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__________.
Line in
Angle
Plane
Circle in
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__________.
Angle
Plane
Line in
Subfield
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 #4 : 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 __________.
Magnitude
Straight Line
Constructible Number
Angle
Plane
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.