Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mridrik

  • 2 years ago

What is the modulus of 7 - 8i?

  • This Question is Closed
  1. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How do you do this?

  2. TAKEBACKMATH
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what is modulus?

  3. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hard to explain, at least for me it is

  4. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    @mridrik Do you know how to find the modulus of the general form of complex numbers?

  5. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

  6. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I know like 8 % 12 = 8 and stuff like that

  7. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    OK no problem, let me give you an introduction to the modulus of complex numbers.

  8. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Let there be Z (a complex number ) = a + ib So , we have to find the modulus of Z = |Z| = |a+ib| It is given by |Z| = \(\sqrt{x^2+y^2}\)

  9. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    oops sorry |Z| = \(\sqrt{a^2+b^2}\)

  10. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1350706728154:dw|

  11. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so positive radical 113?

  12. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1350706781969:dw|

  13. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so let us take the question itself as an example : |7-8i| = \(\sqrt{7^2+8^2}\)= \(\sqrt{49 + 64} = \sqrt{113}\)

  14. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Good work @mridrik , you're right!

  15. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    right!

  16. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    alright thanks, what were you drawing there unkle?

  17. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    i plotted the point 7 - 8i on an Argand diagram, then used the Pythagorean relation to determine the distance form the origin of the point

  18. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    from*

  19. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    modulus is just the length of the vector

  20. mridrik
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, okay

  21. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.