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mridrik

  • 3 years ago

What is the modulus of 7 - 8i?

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  1. mridrik
    • 3 years ago
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    How do you do this?

  2. TAKEBACKMATH
    • 3 years ago
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    what is modulus?

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

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

  5. mridrik
    • 3 years ago
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    no

  6. mridrik
    • 3 years ago
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    I know like 8 % 12 = 8 and stuff like that

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

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

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

  10. UnkleRhaukus
    • 3 years ago
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    |dw:1350706728154:dw|

  11. mridrik
    • 3 years ago
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    so positive radical 113?

  12. UnkleRhaukus
    • 3 years ago
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    |dw:1350706781969:dw|

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

  14. mathslover
    • 3 years ago
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    Good work @mridrik , you're right!

  15. UnkleRhaukus
    • 3 years ago
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    right!

  16. mridrik
    • 3 years ago
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    alright thanks, what were you drawing there unkle?

  17. UnkleRhaukus
    • 3 years ago
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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

  18. UnkleRhaukus
    • 3 years ago
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    from*

  19. UnkleRhaukus
    • 3 years ago
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    modulus is just the length of the vector

  20. mridrik
    • 3 years ago
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    oh, okay

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