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Lösung 3.2:4a

Aus Online Mathematik Brückenkurs 2

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Version vom 10:37, 11. Mär. 2009

The magnitude of the number 3+4i is the number's distance to the origin in the complex number plane.

If we treat the line from the origin to 3+4i as the hypotenuse in a right-angled triangle which has its legs parallel with the real and imaginary axes, then the Pythagorean theorem gives that the magnitude is

3+4i=32+42=9+16=25=5. 


Note: In general, the magnitude of a complex number z=x+iy is equal to

z=x+iy=x2+y2. 
Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.2:4a“