Use the following two complex numbers to answer the remaining questions: z1= 3cis(30°) z2= 4cis(−120°) Convert to rectangular form. Then graph both complex numbers on the complex number plane. Then Find the resultant of the two complex numbers. Draw the result on the complex number plane.

Q: Add the following complex numbers. Write the difference in standard form. (2-4i)+(i+6)

A: Here we have to add the given complex numbers. Thereafter we shall write the difference in standard…

Q: Convert the complex number below to rectangular form: Z = 10ei

A:

Q: Graph the following 1. -2 + 3i 2. 4-4i 3. 3+i 4. 5i

A: Draw the axis and then label the real and imaginary axis and mark the given point

Q: Plot the complex number 1 + i√3. Then write the complex number in polar form. You may express the…

A: If z=x+iy Thus in it can be written in the polar form as z=reiθWhere r=x2+y2And θ=tan-1yx

Q: Plot the complex number z = 3 and find its absolute value.

A: Consider the given: z=3It can be written as:z=3+0iComparing z=x+iy,here,x=3,y=0

Q: Plot the complex number z = 4 - i and find its absolute value.

A: In the Argand plane, the real axis is the x-axis and the imaginary axis is the y-axis. The absolute…

Q: Plot the complex number z = 3i and find its absolute value.

A: Plot the complex number z = 3i and find its absolute value.

Q: Plot the complex number -1 - i. Then write the complex number in polar form. You may express the…

A: Given a complex number:                                                -1-i To convert the complex…

Q: write the complex number and rectangular form 10(cos(-120degree)+i sim (-120degree))

A: The given complex number is       z= 10(cos(-120⁰)+ I sin(-120⁰)) We want to write this complex…

Q: 7. Plot the complex number 3 - 6i

A: