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gerryliyana Group Title

COMPLEX VARIABLE

  • one year ago
  • one year ago

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  1. gerryliyana Group Title
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    • one year ago
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  2. electrokid Group Title
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    what does that "*" represent?

    • one year ago
  3. gerryliyana Group Title
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    * is equal to \(\times \)

    • one year ago
  4. electrokid Group Title
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    a cross-product?

    • one year ago
  5. gerryliyana Group Title
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    no.., it just times

    • one year ago
  6. niksva Group Title
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    @gerryliyana solve for RHS first by using the values of dimensional vectors given in question

    • one year ago
  7. electrokid Group Title
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    \[\vec{a}\times\vec{b}=\left|\begin{matrix} \hat{x}&\hat{y}&\hat{z}\\ u&v&0\\ x&y&0 \end{matrix}\right| =\hat{z}(uy-vx)\\ \vec{a}\cdot\vec{b}=ux+vy\\ ab = (u+iv)(x+iy)=ux+i(vx)+i(uy)+(i^2)(xy) \]

    • one year ago
  8. myko Group Title
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    are you sure it's right? Because: a.b=ux+vy iz(axb)=i(uy-xv) and a*b=ux-vy+i(uy+vx) so it is not equal: ux-vy+i(uy+vx) =/= ux+vy+i(uy-xv)

    • one year ago
  9. electrokid Group Title
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    \[ab=(uy-vx)+i(vx+uy)\]

    • one year ago
  10. gerryliyana Group Title
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    its same with my answer @myko

    • one year ago
  11. gerryliyana Group Title
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    yeah i think so

    • one year ago
  12. electrokid Group Title
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    \[ab=\hat{z}\cdot(\vec{a}\times\vec{b})+i(\vec{a}\cdot\vec{b})\]

    • one year ago
  13. myko Group Title
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    vx+uy =/= a.b @electrokid

    • one year ago
  14. gerryliyana Group Title
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    so what the right answer??

    • one year ago
  15. electrokid Group Title
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    oh yea.. my bad..

    • one year ago
  16. electrokid Group Title
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    that "*" in the question must be a complex conjugate

    • one year ago
  17. electrokid Group Title
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    then it seems you might have it right.

    • one year ago
  18. gerryliyana Group Title
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    good idea!! oh my bad...,

    • one year ago
  19. gerryliyana Group Title
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    yeah,"*" means conjugate

    • one year ago
  20. electrokid Group Title
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    always make sure that people are talking the same math language

    • one year ago
  21. gerryliyana Group Title
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    thank you @electrokid

    • one year ago
  22. niksva Group Title
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    @electrokid if "*" is complex conjugate then it will be rightly solved

    • one year ago
  23. gerryliyana Group Title
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    i got it now.., thank you guys :)

    • one year ago
  24. gerryliyana Group Title
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    by the way.., if all of you have a facebook., add me on facebook http://www.facebook.com/gerry.resmiliyana thank you so much!

    • one year ago
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