A complex number can be thought of as a vector with two components, called the "real part" (usually represented on the horizontal axis), and the "imaginary part" (usually represented on the vertical axis). You can also express the complex number in polar form, that is, with a a length and an angle.
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A conjugate number refers to a complex number having both the imaginary and real parts of opposite signs and equal magnitude.
The standard form of a complex number is the cartesian one; a plane with orthogonal axes for real parts and imaginary parts. A complex number has a pair of co-ordinates defining its position on the plane. A trigonometric form is a plane with an origin, and one line from the origin to infinity. A complex number is defined by its distance from the origin and the angle between the datum line and the line joining the number to the origin. It is just like co-ordinate geometry with co-ords r, theta instead of x,y.
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.
2 ½ is called a mixed number (a whole number and a fraction), not complex.Complex number means there can be real and/or imaginary parts to a number. Without confusing you though, complex numbers include all of the real numbers (which include all fractions and mixed numbers).
A complex number has a real part and imaginary part. In x+iy, the x is real and the iy is imaginary. In 3d, you can have x+iy+ik. Complex numbers produce amazing fractals. A wise man said complex numbers are useless and to be avoided at all cost. Netflyer