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Subjects>Math>Basic Math

Plot the number in a complex plane -1-3i?

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∙ 14y ago

Updated: 4/28/2022

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More answers

From the 'origin' move to the left 1 unit, and move down 3 units.

+5i

+4i

+3i

+2i

+1i

-5-4-3-2-1 0 +1+2+3+

-1i

-2i

* -3i

-4i

-5i

The * is at (-1-3i)

whew!

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∙ 14y ago

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Q: Plot the number in a complex plane -1-3i?

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How do you use complex numbers?

Better get a textbook that explains this in more detail. You can also get a brief summary at Wikipedia, or other online sites. In any case, here is a brief summary. For addition and substraction, you add (or subtract) the real and imaginary parts separately. For example, (4 + 3i) + (7 - 2i) = 11 + 1. For multiplication, multiply each part of one number with each part of the other number - and remember that i2 = -1. For example, (4 + 3i) x (7 - 2i) = 28 - 8i + 21i - 6i2 = 28 + 13i - 6(-1) = 34 + 13i. Division is a bit more complicated. For example, to divide by (3 + 4i) you have to multiply numerator and denominator by the complex conjugate of this number, that is, change the sign of the imaginary part; in this case, (3 - 4i). Multiplication and division are actually quite a lot easier if you convert the complex number to polar coordinates, that is, a distance and an angle. Here is a quick example: (4 angle 30 degrees) x (5 angle 20 degrees) = (4 x 5) angle (30 + 20 degrees) = 20 angle 50 degrees (a length of 20, at an angle of 50 degrees). Most scientific calculators have special functions to convert from rectangular to polar coordinates and back.

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