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mridrik

What is the modulus of 7 - 8i?

  • one year ago
  • one year ago

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  1. mridrik
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    How do you do this?

    • one year ago
  2. TAKEBACKMATH
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    what is modulus?

    • one year ago
  3. mridrik
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    hard to explain, at least for me it is

    • one year ago
  4. mathslover
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    @mridrik Do you know how to find the modulus of the general form of complex numbers?

    • one year ago
  5. mridrik
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    no

    • one year ago
  6. mridrik
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    I know like 8 % 12 = 8 and stuff like that

    • one year ago
  7. mathslover
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    OK no problem, let me give you an introduction to the modulus of complex numbers.

    • one year ago
  8. mathslover
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    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| = \(\sqrt{x^2+y^2}\)

    • one year ago
  9. mathslover
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    oops sorry |Z| = \(\sqrt{a^2+b^2}\)

    • one year ago
  10. UnkleRhaukus
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    |dw:1350706728154:dw|

    • one year ago
  11. mridrik
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    so positive radical 113?

    • one year ago
  12. UnkleRhaukus
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    |dw:1350706781969:dw|

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

    • one year ago
  14. mathslover
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    Good work @mridrik , you're right!

    • one year ago
  15. UnkleRhaukus
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    right!

    • one year ago
  16. mridrik
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    alright thanks, what were you drawing there unkle?

    • one year ago
  17. UnkleRhaukus
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    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

    • one year ago
  18. UnkleRhaukus
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    from*

    • one year ago
  19. UnkleRhaukus
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    modulus is just the length of the vector

    • one year ago
  20. mridrik
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    oh, okay

    • one year ago
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