Question

is this correct?

Answer 1

\[\left| \frac{ 1 }{ 2 } -\frac{ \sqrt{3} }{ 2 }i\right| = 1?\]

Answer 2

formula of absolute value of complex number is:
\[ \left| r \right| = \left| a + bi \right| =\sqrt{a^{2} + b^{2}} = \sqrt{(\frac{ 1 }{ 2 })^{2} + (\frac{\sqrt{3} }{ 2 })^{2}} = \sqrt{\frac{ 1 }{ 4 } + \frac{ 3 }{ 4 }} = \sqrt{1} = 1\]

yes, 1 is correct answer

Answer 3

its magnitude is \[\sqrt{(1/2)^{2}+(-\sqrt{3}/2)^{2}}\]=1

Answer 4

:O that was mind blowing :/ ... thanks!

Answer 5

one tiny mistake, sqrt(3)/2 in my equation misses a minus. it doesn't change anything, but still;) thx souvik @souvik