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Worksheet: Evaluating Complex Numbers Geometrically

Q1:

What is the distance between the numbers and on the complex plane?

  • A
  • B3
  • C
  • D9
  • E4

Q2:

Find the distance between the complex numbers and shown on the complex plane. Give your answer in an exact simplified form.

  • A
  • B8
  • C
  • D4
  • E6

Q3:

Given a complex number , where the principal argument of is , determine the principal argument of .

  • A
  • B
  • C
  • D

Q4:

Given that the principal argument of and the principal argument of , determine the principal argument of .

  • A
  • B
  • C
  • D
  • E