What are the coordinates of the complex number -i when we plot it in the complex plane?

Answer 1

The complex plane is a geometric representation of the complex numbers - a Cartesian plane, with the real part represented by the x-axis, and the imaginary part by the y-axis.

It is also called an Argand diagram.

For a complex number z = x + iy and this is plotted as (x,y).

-i = 0 - 1i so the point is (0,-1)

It can also be plotted using polar coordinates in this case it would be (r,θ) where r² = x² + y² and tanθ = y/x (in radians)

So for -i, (r,θ) = (1,π/2)

Answer 2

By complex plane I think you mean the real numbers in the horizontal (x-axis) and the imaginafry number in the vertical (y-axis).

Therefore the number 1 will be located in the horizontal axis, one unit to the right of the vertical axis, the number -1 is also located in the horizontal axis, one unit to the left ogf the vertical axis.

The number i (one imaginary unit) is located in the vertical axis , one unit over the horizontal axis and the number -i is also located in the vertical axis, one unit UNDER the horizontal.

Answer 3

The co-ordinates of a complex number a+bi in the xy plane are x=a and y=b. There fore the cordinates of -i are (0,-1)

Answer 4

Complex numbers are of form a+bi

-i = 0 + (-1)i

The real part = 0
The imaginary part = -1

Therefore -i would be at (0,-1) on an (x,y)=(real,imaginary) plane.

Answer 5

it is one unit down the vertical axis, 0 to the right or left.

on an x-y plane it would be (0, -1)

Answer 6

you could initiate off out by technique of using the Euler identity which seems to be very efficient an excellent variety of the time. cos(x) + isin(x) = e^(ix) cos(-pi/2) + isin(-pi/2) = e^(-ipi/2) 0 - i = e^(-pi/2) this is going clockwise so its coordinates are at (0, - a million)

Answer 7

(0. -1)

The real number portions are plotted along the x-axis, and imaginary number portions are plotted on the y-axis.