# Complex Number Plane

The complex number plane, also known as the Argand plane, is a fundamental concept in mathematics that extends the real number line into two dimensions. It is used to graph complex numbers, which consist of a real part and an imaginary part. The horizontal axis represents the real part of the complex number, while the vertical axis represents the imaginary part. This plane allows for the visualization and manipulation of complex numbers, enabling mathematicians and scientists to solve a wide range of complex problems in fields such as engineering, physics, and computer science.

Questions

- Using the origin as the initial point, how do you draw the vector that represents the complex number #-4 - i#?
- How do you plot the number #-5+4i#?
- How do I graph the complex number #3+4i# in the complex plane?
- How do you find #abs(-3 - 4i )#?
- How do you find the absolute value of #-8i#?
- How do you find the values of m and n that make the equation #(2m-3n)i+(m+4n)=13+7i# true?
- How do you simplify # (-3-3i) - (5-5i)#?
- How do you simplify #(-4+6i)-(-5+4i)#?
- How do you graph the point 1 + 2i on a complex plane?
- How do you simplify #i^(-43)+i^(-32)# ?
- Can you find the cartesian equation for the locus of points #(x, y)# if #z=x+iy# and #|z+3| + |z-3| = 8#?
- How do you find the absolute value of #sqrt(2-i)#?
- How do you simplify #(-i)+(8-2i)-(5-9i)# and write the complex number in standard form?
- How do you simplify #(8+5i)-(1+2i)# and write the complex number in standard form?
- How do you simplify #i44 + i150 - i74 - i109 + i61#?
- Is -8 a non real complex number?
- How do you find #abs( 4 - i )#?
- How do you find #abs( 2-i )#?
- How do you plot #5i#?
- How do you plot #9sqrt{3} + 9i# on the complex plane and write it in polar form?