answersLogoWhite

0


Best Answer

Yes. Traditionally, this line is drawn horizontally, with positive numbers to the right, and negative numbers to the left.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Do all real numbers lie on a single line in the complex plane?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Basic Math

How do you find the greatest of four numbers in a single line?

If the line is horizontal, the greatest is the furthest to the right.


When two complex numbers are added together their sum can BEST be represented by which geometric figure?

A triangle, with one of the complex numbers represented by a line from the origin to the number, and then move from that point up and over the amount of the next complex number. Then draw a line segment from the origin to the final point.


What is a system that relates the correspondence between the points on a plane to a pair of real numbers?

It could be the system of straight line equations that are plotted on the Cartesian plane.


What are complex numbers?

A complex number is a number with a real and an imaginary part.Look at the links I will place below to find out moreA complex number is any number that can be represented as the sum of some number on the real number line and some number on the imaginary number line, a number line perpendicular to the real number line that contains multiples of sqrt(-1), which is more commonly denoted as i.


What are two complex numbers whose product is 10?

The set of complex numbers includes the set of real numbers. The real number system is just with the imaginary part set to 0. example: z = 5 + i0 = 5 So the simple answer would be (2+i0)*(5+i0) = 10, so the complex values (2,0) and (5,0) get the result your looking for. If you want a pair not on the real line then 2*exp(i*pi/4) and 5*exp(-i*pi/4) will do. If you multiply the two complex numbers you get 2*5*exp(i*(pi/4-pi/4)) which is just 10. Since pure imaginary numbers are also part of the set of complex numbers, you could have -2i * 5i, the i's multiplied together yield -1 and multiplied by -10 = 10.

Related questions

Is pi a complex number?

The set of real numbers are a subset of the set of complex numbers: imagine the complex plane with real numbers existing on the horizontal number line, and pure imaginary existing on the vertical axis. The entire plane (which includes both axes) is the set of complex numbers. So any real number (such as pi) will also be a complex number. But many people think of complex numbers as something that is "not a real number".


What is the difference between a complex number and real number system?

Graphically the difference is quite clear: the real numbers can be put on a line, the so-called number-line; while complex numbers are represented as points on a plane. A complex number is made up of two parts, like a vector in two dimensions.


Why no order in complex numbers?

Basically you can have an order on a number line, but complex numbers are points on a plane. You can invent some arbitrary order, like which number has the largest real part, or the biggest absolute value, but many of the order properties of real numbers are no longer valid with such definitions.


What type of geometric figure is formed by the intersection of a line and plane?

a polygon a polygon * * * * * No it is not! If the line is in that plane then it is the whole line. If not, it is a single point.


A plane and a line sometimes never or always intersect in a single point?

A given plane and a given line don't necessarily have to intersect at all.If the line is parallel to the plane, then they never do.The line can also be in the plane, and then every point on the line is alsoa point in the plane.The most likely case, though, is that the line is not parallel to the plane andnot in it. In that case, their intersection is a single point.So I guess the best answer from the allowed choices is 'sometimes'.


How do you plot complex numbers?

It's easy to do. Take the complex number (2+i3). On an x, y plane the 2 would be on the real number line or x=2. 3 would be on the y=3 line where x=2. So you would have a point at (2,3) in the plane. You can get some interesting graphics from complex plotting programs. The LINK below shows what the equation w=1/z can do to a photo.


How do you best describe a parabola?

The set of all points in a plane that are equidistant from a single point and a single line


What is complex quadrilateral?

when a quadrilateral is crossed over, so which means one line is crossed over another line then joins to make the shape.


Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?

parabola


Which geometric objects is defined as the set of all points in a plane equidistant from a single point and a single line?

A parabola.


Why must there be at least two lines on any given plane?

A single line is not sufficient to define a plane. You can find a plane such that the line is in it. But if you then rotate the plane using that line as the axis of rotation, you can get an infinite number of planes such that the line belongs to each and every one of the planes.


Where does a plane and a line intersect?

In most cases, in a single point. It is also possible that there is no intersection, or that the intersection is the entire line.