# Complex Number Plane

### Topic Page

Complex Number Plane### Questions

- What is the complex number plane?
- Which vectors define the complex number plane?
- What is the modulus of a complex number?
- How do I graph the complex number #3+4i# in the complex plane?
- How do I graph the complex number #2-3i# in the complex plane?
- How do I graph the complex number #-4+2i# in the complex plane?
- How do I graph the number 3 in the complex number plane?
- How do I graph the number #4i# in the complex number plane?
- How do I use graphing in the complex plane to add #2+4i# and #5+3i#?
- How do I use graphing in the complex plane to subtract #3+4i# from #-2+2i#?
- How do you write the expression #i ^-18# in the standard form a+ bi?
- How do you subtract #(-9+61)-(3+i)#?
- How to express #e^(2-i) # in the form #a + ib#?
- Is 0 a complex number?
- Is -8 a non real complex number?
- Write the complex number #-2 +3i# in polar form?
- Write the complex number #(8 - i) - (3+2i) + (-4 + 6i)# in standard form?
- How do you find the absolute value of #1+3i#?
- How do you simplify #-7-2i#?
- How do you simplify #abs(2+3i)#?
- How do you simplify #abs(i)#?
- How do you find the absolute value of the complex number z=3-4i?
- How do you find the absolute value of the complex number?
- What is the sum represented by as points on the complex plane when we add the two complex numbers a + bi and c + di?
- Is 2 a complex, nonreal complex, pure imaginary, or real?
- How do you simplify #(8 - i) - (3+2i) + (-4 + 6i)#?
- How do you find absolute value of 4+2i, 8i, and -3 + 7i?
- How do you simplify #(2+4i) - (6 - 2i) + (3 - 5i)#?
- Question #83ff4
- How do you express #3sqrt(-48)# as a product of a real number and i?
- How do you express #sqrt(-4/5)# as a product of a real number and i?
- How do you express #9isqrt(-36)# as a product of a real number and i?
- For #12i^12 + pi(i)# was if the imaginary and what is the real part?
- For #yi^2 - x i# was if the imaginary and what is the real part?
- How do you simplify #(2 + 6i) - (7+9i) #?
- Is -8 a non real complex number?
- How do you simplify #(6+4i)-(-5+i)#?
- How do you find the sum of -2+3i and -1-2i?
- How do you simplify #sqrt(-32)#?
- How do you simplify #sqrt(-25) - sqrt(-49)#?
- How do you find the absolute value of 5-2i?
- How do you simplify #2sqrt(-49) + 3sqrt(-64)#?
- How do you combine #(-9 + i) + (6-2i)#?
- How do you combine #(8-8i) - (6-4i) #?
- How do you find the multiplicative inverse of 5+2i in standard form?
- How do you simplify #(2-3i)+(-2-5i)#?
- How do you add #(-3+i) + (4+6i)#?
- How do you add #(4 + i) - (-3 + 2i) #?
- How do you add #(-2 + 5i) + (-4 - 2i)#?
- How do you combine # (4 - 2i) + (12 + 7i)#?
- Using the origin as the initial point, how do you draw the vector that represents the complex number #-4 - i#?
- Using the origin as the initial point, how do you draw the vector that represents the complex number #3 + 5i#?
- Using the origin as the initial point, how do you draw the vector that represents the complex number #6#?
- How do you simplify #(-1)^(-1/8)#?
- What is the complex and what is the real part in #−5i + 3#?
- How do you simplify #(8 + 7i) + (2 − i)#?
- How do you solve #2ix - 5 + 3i = (2 - i)x + i#?
- How do you simplify #(3 + 2i) + (6 - i)#?
- How do you simplify #(4 + i) - (-3 + 2i) #?
- How do you simplify #(3-5 i)+(-2-7i)#?
- How do you simplify #(-3+5i) -(-4-9i)#?
- How do you simplify #(-4+6i)-(-5+4i)#?
- How do you simplify #(6 - 7i) + (-4 + 3i)#?
- How do you simplify #(8 - 3i) + (-6 + 2i)#?
- How do you simplify #( 5+2i) + (8-3i)#?
- How do you simplify # (7 - 2i) - (5 + 4i)#?
- How do you simplify #(7-4i)+(8+6i)#?
- How do you simplify #7+4i div 2-3i#?
- How do you simplify # (-3-3i) - (5-5i)#?
- How do you simplify #abs(8 - 6i )#?
- How do you simplify #abs(-12 + 22.5i)#?
- How do you simplify #abs(19i )#?
- How do you simplify #( 2 + i ) + (-3 + 2i)#?
- How do you simplify #( -5 + 4i ) + 3#?
- How do you simplify #( 6 - 3i ) + ( -4 - 2i )#?
- How do you simplify #abs(15 + 7i )#?
- How do you simplify #abs(-2 - 6i)#?
- How do you simplify #abs(0.2 + 0.8i)#?
- How do you simplify #abs(-14)#?
- How do you simplify #abs(-3.6i )#?
- How do you simplify #abs(20 + 21i )#?
- How do you simplify #abs(-30 - 5.5i )#?
- How do you simplify #( 3i ) + ( 8 )#?
- How do you simplify #( -4 - 3i ) + ( 2 - 2i )#?
- How do you simplify #( 3 + 3i ) + ( 3 - 3i)#?
- How do you simplify #( 2 + 3i ) + ( 3 + 2i )#?
- How do you simplify #(-1-8i)+(4+3i)# and write in a+bi form?
- How do you simplify #(3-2i)/(1- i)# and write in a+bi form?
- How do you simplify # (-4 - 6i) + (-2 - 3i) # and write in a+bi form?
- How do you simplify # (-2 + 5i) + (-4 - 2i) # and write in a+bi form?
- How do you plot #-2# on the complex plane and write it in polar form?
- How do you plot #9sqrt{3} + 9i# on the complex plane and write it in polar form?
- How do you find the distance on a complex plane from 5-12i to the origin?
- How do you find all the cube roots of z, where #z = (sqrt3)/2 + 1/2i#?
- How do you graph the number 7 - 5i in the complex plane and find its absolute value?
- In which quadrant is the number -14-5i located on the complex plane?
- In which quadrant is the number 5-3i located on the complex plane?
- What does the curve from the equation |z+1-i| = 2 look like in the complex plane?
- Using the complex plane, how do you evaluate and locate the distinct solutions to (w)^4 = -1?
- How do you graph #abs(z-i) = 2# in the complex plane?
- How do you graph #4-3i# in the complex plane?
- How do you express #z = 1 + i sqrt(3)# in polar and trigonometric form, and sketch z on the complex number plane?
- In which quadrant is the number 6 – 8i located on the complex plane?
- Given the complex number #5 – 3i# how do you graph the complex number in the complex plane?
- Given the complex number 5-2i how do you graph the complex number in the complex plane?
- How do you sketch the set of all the complex numbers z such that #|z- 3- 4i| = 2#?
- If the sum of 4-2i and -7-8i were plotted in the complex plane, the result would fall in what quadrant?
- In the complex plane, what does # abs(z+1 ) +abs(z-1)= 8# look like?
- How do you graph the point-3+4i on a complex plane?
- How do you graph the point 1 + 2i on a complex plane?
- How do you identify the locus in the complex plane given by: |z - 3i| = |z +2|?
- How do you get the complex cube root of 8?
- If (2-5i)=Z, then Z must be in which quadrant of the complex plane?
- How do you write the expression #(1 - i)^5# in the standard form a + bi?
- How do you write the expression #(sqrt(2) - i)^6# in the standard form a + bi?
- How do you find the locus defined by # abs(z-1)abs(z +1) =3#?
- How do you simplify #3sqrt(-48)#?
- How do you simplify #sqrt(-4/5)#?
- How do you simplify #2sqrt(-16/7)#?
- How do you find the real and imaginary part #pi + i#?
- How do you find the real and imaginary part #12i^12 + pi(i)#?
- How do you simplify #i44 + i150 - i74 - i109 + i61#?
- How do you simplify #i24 + i56 + i98 - i108 - i32#?
- How do you simplify # (2+i) / (3+i)#?
- How do you simplify #(3i)/(9-6i)#?
- How do you simplify #(9 – 6i) – (12 + 2i)#?
- How do you simplify #(-3+7i)/(1+8i)#?
- How do you simplify #(-3+i) + (4+6i) #?
- How do you simplify #(-4 - 6i) + (-2 - 3i) #?
- How do you simplify #(3+2i) + (-5+8i)#?
- How do you simplify #(4+2I) - (-1+5i)#?
- How do you simplify #(5-8i) -(2+9i)#?
- How do you simplify #(5-4i)(3+6i)#?
- How do you simplify #(4+2i) - (5-3i)#?
- How do you simplify #(5 + 2i ) - ( 2 + 3i )#?
- How do you simplify #( 2 + 3i) - ( -4 - 4i)#?
- In which quadrant does the graph of the sum of (3 - 5i) and (2 + 4i) lie?
- In which quadrant does the graph of 6-5i and 4+6i lie?
- If a= -2+4i and b=3-2i, in which quadrant does the graph of (a-b) lie?
- In which quadrant does the graph of the sum of (-3 -5i) and (2+4i) lie?
- In which quadrant does the graph of -1-2i lie?
- How do you graph 5-2i?
- How do you simplify # (9-7i)-(10-6i)#?
- How do you simplify #sqrt(-36)#?
- How do you simplify #sqrt(-196)#?
- How do you simplify #sqrt(-81x^6)#?
- How do you simplify #(10 - 4i) - (7 + 3i)#?
- How do you simplify #(4 – 10i) – (5 – 7i)#?
- How do you simplify #6-(8+3i)#?
- How do you simplify #(3+5i)-(6-21)#?
- How do you simplify #i-(-9+2i) #?
- How do you simplify # 7i+(3-16i) #?
- How do you simplify #i^40+5-6i#?
- How do you simplify #(12 - 6i) - (-3 - 8i)#?
- How do you simplify #(6 + i )(8 – 3i)#?
- How do you simplify #(2-5i) - (7-2i)#?
- How do you simplify #3sqrt( -1/8)#?
- How do you simplify #(5 – 3i) + (4 – 8i)#?
- How do you subtract #(8 + 5i) - (5 - 6i)#?
- How do you find the sum of the complex number: (4 - 2i) + (12 + 7i)?
- How do you Plot the complex number #z=-4sqrt3-4i#?
- How do you find the real and imaginary parts of the complex number 5 − 9i?
- How do you plot # -3 + 2i#?
- How do you plot #5i#?
- How do you plot #3 + 5i#?
- How do you plot #6#?
- How do you find #abs(5-12i )#?
- How do you find #abs(i-5 )#?
- How do you find #abs(i^2)#?
- How do you find #abs(7i)#?
- How do you find #abs(2 - 6i)#?
- How do you find #abs( 3-4i)#?
- How do you find #abs( -3+4i)#?
- How do you find #abs(3+4i)#?
- How do you find #abs(4-3i)#?
- How do you find #abs(-5i)#?
- How do you find #abs(4 + 5i)#?
- How do you find #abs(5-2i)#?
- How do you find #abs(1-7i )#?
- How do you find #abs(7- 6i )#?
- How do you find #abs(2 +5i)#?
- How do you find #abs(7-9i)#?
- How do you find #abs(-1 - 2i)#?
- How do you find #abs(1 + 3i)#?
- How do you find #abs(-9-6i)#?
- How do you find #abs(-4 - sqrt2i)#?
- How do you find #abs( 3 - 2i)#?
- How do you find #abs(1 - 5i)#?
- How do you find #abs( -7-2i)#?
- How do you find #abs( -4-9i )#?
- How do you find #abs( 2 + 8i )#?
- How do you find #abs( –2 + 6i )#?
- How do you find #abs( 6 - 5i )#?
- How do you find #abs( x+iy )#?
- How do you find #abs( 9 - 5i )#?
- How do you find #abs(-2i )#?
- How do you find #abs(3 + 2i )#?
- How do you find #abs(4 - 3i )#?
- How do you find #abs(-2 + 4i )#?
- How do you find #abs(-5 + 0i)#?
- How do you find #abs(0 - 4i )#?
- How do you find #abs(-3 - 2i )#?
- How do you find #abs(-4 + 3i)#?
- How do you find #abs(2 - 4i)#?
- How do you find #abs(12-16i)#?
- How do you find #abs( -7i )#?
- How do you find #abs( 2 + 3i )#?
- How do you find #abs( 7 – 2i )#?
- How do you find #abs( 9 + 4i )#?
- How do you find #abs( 1- i sqrt3)#?
- How do you find #abs( sqrt 5 + 2i sqrt2)#?
- How do you find #abs( 8i )#?
- How do you find #abs( -3 + 7i )#?
- How do you find #abs( i^6 )#?
- How do you find #abs( 3 - 7i )#?
- How do you find #abs( -2+i )#?
- How do you find #abs( -3 i )#?
- How do you find #abs( 7-5i )#?
- How do you find #abs( -4+2i )#?
- How do you find #abs( 4-8i )#?
- How do you find #abs( 2i )#?
- How do you find #abs( -4 -3i )#?
- How do you find #abs( 3+9i )#?
- How do you find #(6-2i)+(2-i)#?
- How do you find #-i+(7-5i)-3(2-3i)#?
- How do you find #abs(-8-4i)#?
- How do you find #abs(2+4i )#?
- How do you find #abs( 5+12i )#?
- How do you find #abs( -2-i )#?
- How do you find #abs( -7+i )#?
- How do you find #abs( sqrt11 + i sqrt(5))#?
- How do you find #abs( 4(sqrt3) - 4i)#?
- How do you find #abs( 2-2i )#?
- How do you find #abs( 1-4i )#?
- How do you find #abs( 5-3i )#?
- How do you find #abs( 9+i )#?
- How do you find #abs( 3-2i )#?
- How do you find #abs( 4+7i )#?
- How do you find #abs( 7+9i )#?
- How do you find #abs( 14i )#?
- How do you find #abs( 2-3i )#?
- How do you find #abs( -5 - 4i )#?
- How do you find #abs( -1 + 2i )#?
- How do you find #abs( 7 + 6i )#?
- How do you find #abs( 3i )#?
- How do you find #abs( 2-i )#?
- How do you find #abs( 12-5i)#?
- How do you find #abs( -7 + 5i )#?
- How do you find #abs( 6-3i )#?
- How do you find #abs( -3-5i )#?
- How do you find #abs( -2 + 2i sqrt3 )#?
- How do you find #abs( -6-8i )#?
- How do you find #abs( 1-isqrt3 )#?
- How do you find #abs( 2sqrt3 - πi )#?
- How do you find #abs( -18/7 + sqrt5/7 i )#?
- How do you find #abs( -4sqrt3-4i )#?
- How do you find #abs( -3-6i )#?
- How do you find #abs( 2 − i )#?
- How do you find #abs( 1 + i )#?
- How do you find #abs( 4 - i )#?
- How do you find #abs(-3 - 4i )#?
- How do you find #abs(-10 + 11i )#?
- What complex numbers have the same absolute value as #sqrt(3)+i# but subtend a right angle with it at O in the complex plane?
- What are complex numbers, and how do you represent them on an Argand diagram?
- How do you simplify #sqrt( -1/121)#?
- How do you simplify #sqrt(-25/49)#?
- How do you simplify #sqrt(-4)#?
- What is the #sqrt(-25)#?
- How do you find the magnitude of #3 - 7i#?
- How do you graph #5 – 3i#?
- How do you find modulus and principal value for the argument of #(3 - i)^15#?
- How do you find the absolute value: |5-i|?
- How do you find the absolute value of 3+4i?
- How do you find the absolute value of z = 2 - 6i?
- How do you find the absolute value of |5-i|?
- How do you find the absolute value of #sqrt(2-i)#?
- How do you find the absolute value of #-7-2i#?
- How do you plot the number #4+2i#?
- How do you plot the number #-1+i#?
- How do you plot the number #3#?
- How do you plot the number #-2-i#?
- How do you plot the number #1+5i#?
- How do you plot the number #-5+4i#?
- How do you simplify #(2+3i)+(7+i)# and write the complex number in standard form?
- How do you simplify #(6+2i)+(5-i)# and write the complex number in standard form?
- How do you simplify #(-4+7i)+(-4-7i)# 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 #(2-6i)-(-10+4i)# and write the complex number in standard form?
- How do you simplify #(-0.4+0.9i)-(-0.6+i)# and write the complex number in standard form?
- How do you simplify #(25+15i)-(25-6i)# and write the complex number in standard form?
- How do you simplify #(-i)+(8-2i)-(5-9i)# and write the complex number in standard form?
- How do you simplify #(30-i)-(18+6i)+30i# and write the complex number in standard form?
- Is #+-5i# the square root of #-25# ?
- How do you perform the operation and write the result in standard form given #(5+i)+(6-2i)#?
- How do you perform the operation and write the result in standard form given #(13-2i)+(-5+6i)#?
- How do you perform the operation and write the result in standard form given #(8-i)-(4-i)#?
- How do you perform the operation and write the result in standard form given #(3+2i)-(6+13i)#?
- How do you perform the operation and write the result in standard form given #(-2+sqrt-8)+(5-sqrt-50)#?
- How do you perform the operation and write the result in standard form given #(8+sqrt(-18))-(4+3sqrt2i)#?
- How do you perform the operation and write the result in standard form given #13i-(14-7i)#?
- How do you perform the operation and write the result in standard form given #22+(-5+8i)+10i#?
- How do you perform the operation and write the result in standard form given #-(1/2+5/2i)+(5/3+11/3i)#?
- How do you perform the operation and write the result in standard form given #(1.6+3.2i)+(-5.8+4.3i)#?
- How do you plot #-5i# and find its absolute value?
- How do you plot #-4+4i# and find its absolute value?
- How do you plot #5-12i# and find its absolute value?
- How do you plot #6-7i# and find its absolute value?
- How do you plot #-8+3i# and find its absolute value?
- How do you simplify #i+6i#?
- How do you simplify #3+4+6i#?
- How do you simplify #3i+i#?
- How do you simplify #-8i-7i#?
- How do you simplify #-1-8i-4-i#?
- How do you simplify #7+i+4+4#?
- How do you simplify #-3+6i-(-5-3i)-8i#?
- How do you simplify #3+3i+8-2i-7#?
- How do you simplify #4i(-2-8i)#?
- How do you simplify #(6-3i)+(5+4i)#?
- How do you simplify #(9+8i)+(8-9i)#?
- How do you simplify #(-2-6i)-(4-6i)#?
- How do you simplify #(8+20i)-(-8+12i)#?
- How do you simplify #(8-5i)-(-11+4i)#?
- How do you simplify #(10-2i)+(-11-7i)#?
- How do you simplify #(14+3i)+(7+6i)#?
- How do you simplify #(-1+4i)+(-9-2i)#?
- How do you plot #(1+2i)# on the complex plane?
- How do you plot #-5+3i# on the complex plane?
- How do you plot #-6i# on the complex plane?
- How do you plot #4i# on the complex plane?
- How do you plot #-7-i# on the complex plane?
- How do you plot #5-5i# on the complex plane?
- How do you plot #7# on the complex plane?
- How do you plot #-2# on the complex plane?
- How do you find the absolute value of #4+3i#?
- How do you find the absolute value of #-3+10i#?
- How do you find the absolute value of #10-7i#?
- How do you find the absolute value of #-8i#?
- How do you find the absolute value of #4i#?
- How do you find the absolute value of #-4+i#?
- How do you find the absolute value of #7+7i#?
- What is the locus of points #z# in the complex plane satisfying #abs(z-3i) + abs(z+3i) = 10# ?
- Question #0d253
- What is #i^97-i#?
- Question #df1ef
- Let z = 1-i. Find abs(z) ... How?
- Why does it make sense to define #sqrt(-1) = i# but not to define #i = sqrt(-1)# ?
- How do you simplify #sqrt(-36)#?
- How do you simplify #sqrt(-50x^2y^2)#?
- How do you simplify #(8+6i)-(2+3i)#?
- How do you find the values of m and n that make the equation #2m+(3n+1)i=6-8i#?
- How do you find the values of m and n that make the equation #(2n-5)+(-m-2)i=3-7i#?
- How do you simplify #sqrt(-144)#?
- How do you simplify #sqrt(-100a^4b^2)#?
- How do you simplify #(5-2i)+(4+4i)#?
- How do you simplify #(3-5i)+(3+5i)#?
- How do you simplify #(3-4i)-(1-4i)#?
- How do you simplify #(7-4i)-(3+i)#?
- How do you simplify #[(3+i)x^2-ix+4+i]-[(-2+3i)x^2+(1-2i)x-3]#?
- How do you find the values of m and n that make the equation #8+15i=2m+3ni# true?
- How do you find the values of m and n that make the equation #(m+1)+3ni=5-9i# true?
- How do you find the values of m and n that make the equation #(2m+5)+(1-n)i=-2+4i# true?
- How do you find the values of m and n that make the equation #(4+n)+(3m-7)i=8-2i# true?
- How do you find the values of m and n that make the equation #(m+2n)+(2m-n)i=5+5i# true?
- How do you find the values of m and n that make the equation #(2m-3n)i+(m+4n)=13+7i# true?
- Kinda confused can someone explain how to calculate I^9, i^15, and i^-4?
- Question #d9b53
- How do you subtract #(2+3i)-(7+6i)#?
- Question #fdce1
- What quadrant will the product of (2+ 3i) and (-3 -4i) be located in?
- How do you simplify complex number (-2+4i)-(3+9i)?
- What is each sum or difference of #(7-2i)+(-3+i)#?
- What is #(sqrt(5)+i)^6# in the form #a+bi#?
- How do you subtract #(5-2i)-(6+8i)#?
- How do you simplify #(2-2i)*(-3+3i)#?
- How do you simplify #(sqrt2-sqrt2i)*(-3sqrt2-3sqrt2i)#?
- How do you simplify #(sqrt3-i)div(2-2sqrt3i)#?
- How do you simplify #(-4sqrt2+4sqrt2i)div(6+6i)#?
- How do you simplify #(-1+4i)(-1-4i)#?
- How do you write the given expression terms of i: #sqrt(-45)#?
- Question #961d9
- Question #0f1ea
- Question #dabf9
- Question #91890
- Question #318ed
- Question #52207
- What does #i^4# equal?
- Question #ed5b1
- Question #45c04
- How do you simplify #(1-2i)-(3+4i)?#
- How do you simplify #(1-2i)(3+4i)#?
- How do you simplify #(1-2i)/(3-4i)#?
- How do you simplify #sqrt(-3)sqrt(-12)#?
- How do you simplify #sqrt((-3)(-12))#?
- How do you calculate #(2+3i)*(-3-2i)#?
- If the imaginary unit #i# rational or irrational ?
- Question #8380d
- How do you simplify #(1-i)^31# ?
- How to solve this equation for z, where z is a complex number: #(|z|)^(2)-2(z^(2))=2-i#?
- How to find Re: z, when #z=i^(i+1)# ?
- How to rebuild the analytical function f(z) if given #U(x,y)=Re f(z)=2x+(x/(x^(2)+y^(2)))# #0<|z|<+oo#?
- Can you find the cartesian equation for the locus of points #(x, y)# if #z=x+iy# and #|z+3| + |z-3| = 8#?
- Question #00dfc
- If #z=3i#, what is #z^3#?
- Question #2e282
- How to solve this equation where z is a complex number #(2z+2i)^4=z^4#?
- How do complex numbers apply in real life?
- Question #d2faf
- What is the square root of this equation?
- Question #e43d3
- How do you simplify #i^(-43)+i^(-32)# ?
- Question #35062
- Question #87c3e
- #(1 + 3i) (2 - ki) = 29# ?
- Question #90b9c
- Show that the locus in the complex plane of all points satisfying #cosv + isinv # where #v in [0,2pi]# is a unit circle?
- #Abs(z-4+2i)=Abs(z+8-6i)#. In the form #asqrt13, ainQQ#, what is the least value of #absz#?
- Simplify #sqrt(-64)#? Thanks