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anonymous
 3 years ago
What is the modulus of 7  8i?
anonymous
 3 years ago
What is the modulus of 7  8i?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hard to explain, at least for me it is

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.3@mridrik Do you know how to find the modulus of the general form of complex numbers?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I know like 8 % 12 = 8 and stuff like that

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.3OK no problem, let me give you an introduction to the modulus of complex numbers.

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.3Let 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 = \(\sqrt{x^2+y^2}\)

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.3oops sorry Z = \(\sqrt{a^2+b^2}\)

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1350706728154:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so positive radical 113?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1350706781969:dw

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.3so let us take the question itself as an example : 78i = \(\sqrt{7^2+8^2}\)= \(\sqrt{49 + 64} = \sqrt{113}\)

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.3Good work @mridrik , you're right!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0alright thanks, what were you drawing there unkle?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.2i plotted the point 7  8i on an Argand diagram, then used the Pythagorean relation to determine the distance form the origin of the point

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.2modulus is just the length of the vector
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