Distance two imaginary numbs

Find the distance between two complex number: z1=(-8+i) and z2=(-1+i).

Correct answer:

d =  7

Step-by-step explanation:

A=(8,1) B=(1,1)  d=z2z1=BA  d=(BxAx)2+(ByAy)2=((1)(8))2+(11)2=7   Verifying Solution:  Imz1=Imz2 d=BxAx=(1)(8)=7

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Showing 1 comment:
Math student


Tips to related online calculators
Try our complex numbers calculator.
Do you want to convert length units?
Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions:

  • Linear imaginary equation
    cplx_function Given that 2(z+i)=i(z+i) "this is z star" Find the value of the complex number z.
  • ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  • Modulus and argument
    complex_numbers Find the mod z and argument z if z=i
  • Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  • Goniometric form
    complex_fnc Determine the goniometric form of a complex number z = √ 110 +4 i.
  • The fence
    latkovy_plot I'm building a fence. Late is rounded up in semicircle. The tops of late in the field between the columns are to copy an imaginary circle. The tip of the first and last lath in the field is a circle whose radius is unknown. The length of the circle chord
  • Imaginary numbers
    Complex_conjugate_picture.svg Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
  • The modulus
    abs_value Find the modulus of the complex number 2 + 5i
  • Find the 5
    distance-between-point-line Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0
  • Distance problem 2
    geodetka A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
  • Space vectors 3D
    vectors The vectors u = (1; 3; -4), v = (0; 1; 1) are given. Find the size of these vectors, calculate the angle of the vectors, the distance between the vectors.
  • Evaluate 18
    cplx_function Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
  • Vertices of a right triangle
    right_triangle Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
  • Integer
    abs1 Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6.
  • Two chords
    twochords In a circle with radius r = 26 cm two parallel chords are drawn. One chord has a length t1 = 48 cm and the second has a length t2 = 20 cm, with the center lying between them. Calculate the distance of two chords.
  • Distance
    distance Calculate distance between two points X[18; 19] and W[20; 3].
  • Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i