Argand Plane question involving complex number The Next CEO of Stack OverflowDrawing points on...

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Argand Plane question involving complex number



The Next CEO of Stack OverflowDrawing points on Argand planeComplex number modulus identity (on unit circle)Help with Complex Number problem (Argand Diagram)Complex Cube Roots - Argand Diagram QuestionGiven complex $|z_{1}| = 2;;,|z_{2}| = 3;;, |z_{3}| = 4;;$ : when and what is $max$ of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$If $cis(alpha)=a$ and $cis(beta)=b$, prove $sin(alpha-beta)=frac{b^2-a^2}{2ab}i$.Equation of a triangle in three dimensional complex plane.$Z^n = (Z + 1)^n$ roots in complex planesimilarity of triangles in the complex planeCircumference and straight line equation in complex plane












-1












$begingroup$


If $a CiSalpha$,$ bCiSbeta$, $c CiSgamma$ represent three distinct collinear points in an Argand's plane, then prove
the following :
$sum ab sin (alpha-beta)$= 0.










share|cite|improve this question









$endgroup$












  • $begingroup$
    Shifting coordinates to any of the given points may be helpful.
    $endgroup$
    – Bijayan Ray
    Mar 16 at 7:10


















-1












$begingroup$


If $a CiSalpha$,$ bCiSbeta$, $c CiSgamma$ represent three distinct collinear points in an Argand's plane, then prove
the following :
$sum ab sin (alpha-beta)$= 0.










share|cite|improve this question









$endgroup$












  • $begingroup$
    Shifting coordinates to any of the given points may be helpful.
    $endgroup$
    – Bijayan Ray
    Mar 16 at 7:10
















-1












-1








-1





$begingroup$


If $a CiSalpha$,$ bCiSbeta$, $c CiSgamma$ represent three distinct collinear points in an Argand's plane, then prove
the following :
$sum ab sin (alpha-beta)$= 0.










share|cite|improve this question









$endgroup$




If $a CiSalpha$,$ bCiSbeta$, $c CiSgamma$ represent three distinct collinear points in an Argand's plane, then prove
the following :
$sum ab sin (alpha-beta)$= 0.







complex-numbers






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 16 at 6:53









Samar Imam ZaidiSamar Imam Zaidi

1,5871520




1,5871520












  • $begingroup$
    Shifting coordinates to any of the given points may be helpful.
    $endgroup$
    – Bijayan Ray
    Mar 16 at 7:10




















  • $begingroup$
    Shifting coordinates to any of the given points may be helpful.
    $endgroup$
    – Bijayan Ray
    Mar 16 at 7:10


















$begingroup$
Shifting coordinates to any of the given points may be helpful.
$endgroup$
– Bijayan Ray
Mar 16 at 7:10






$begingroup$
Shifting coordinates to any of the given points may be helpful.
$endgroup$
– Bijayan Ray
Mar 16 at 7:10












0






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