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

Thursday, March 13, 2008

$\displaystyle-{7}$ Plot the complex number and find its absolute value.

You need to find the absolute value of the complex number, using the formula $\displaystyle{\left|{z}\right|}=\sqrt{{{{a}}^{{2}}+{{b}}^{{2}}}}$ , 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:

$\displaystyle{\left|{z}\right|}=\sqrt{{{{\left(-{7}\right)}}^{{2}}+{{0}}^{{2}}}}$

$\displaystyle{\left|{z}\right|}=\sqrt{{49}}\Rightarrow{\left|{z}\right|}={7}$

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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Thursday, March 13, 2008

$\displaystyle-{7}$ Plot the complex number and find its absolute value.

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