Linking complex loci to vectors












-1














enter image description here



I have to find the locus of $z$ such that the above result is true. I am able to solve this by substituting z as $x+iy$ and proceeding algebraically but my question is that how can I solve problems involving loci in terms of vectors?



For eg. if I see an expression of the form |$z$|=$r$, I know that it's a circle.










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    -1














    enter image description here



    I have to find the locus of $z$ such that the above result is true. I am able to solve this by substituting z as $x+iy$ and proceeding algebraically but my question is that how can I solve problems involving loci in terms of vectors?



    For eg. if I see an expression of the form |$z$|=$r$, I know that it's a circle.










    share|cite|improve this question

























      -1












      -1








      -1







      enter image description here



      I have to find the locus of $z$ such that the above result is true. I am able to solve this by substituting z as $x+iy$ and proceeding algebraically but my question is that how can I solve problems involving loci in terms of vectors?



      For eg. if I see an expression of the form |$z$|=$r$, I know that it's a circle.










      share|cite|improve this question













      enter image description here



      I have to find the locus of $z$ such that the above result is true. I am able to solve this by substituting z as $x+iy$ and proceeding algebraically but my question is that how can I solve problems involving loci in terms of vectors?



      For eg. if I see an expression of the form |$z$|=$r$, I know that it's a circle.







      complex-numbers vectors locus






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 4 at 18:10









      Sameer ThakurSameer Thakur

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