Thursday, March 13, 2008

`-7` Plot the complex number and find its absolute value.

You need to find the absolute value of the complex number, using the formula `|z| = sqrt(a^2+b^2)` , hence, you need to determine a and b.


a = -7, b = 0


Replacing -7 for a and 0 for b in formula of absolute value, yields:


`|z| = sqrt((-7)^2+0^2)`


`|z| = sqrt 49 => |z| = 7`



Hence, the distance of the complex number from the origin is given by the aboslute value |z| = 7.


The complex number z = -7 + 0i is displayed as the point (-7,0) in a coordinate plane, or as a vector from the origin to the point (-7,0).


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