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Сложение векторов

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Sep 11th, 2011
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  1. z_1=x_1+iy_1=r_1 left ( cos%phi_1 + i sin%phi_1 right ) newline
  2. z_2=x_2+iy_2=r_2 left ( cos%phi_2 + i sin%phi_2 right ) newline
  3. z_3=z_1+z_2= left ( x_1+x_2 right)+ i left ( y_1+y_2 right)=left ( r_1 cos%phi_1+r_2 cos%phi_2 right)+ i left (r_1 sin%phi_1+r_2 sin%phi_1 right)=r_3 left ( cos%phi_3+i sin%phi_3 right ) newline
  4. left lbrace alignl {stack
  5. {r_3 cos%phi_3=r_1 cos%phi_1+r_2 cos%phi_2 #
  6. r_3 sin%phi_3=r_1 sin%phi_1+r_2 sin%phi_1}} right none newline
  7. left lbrace alignl { stack{
  8. r_3=sqrt {left ( r_1 cos%phi_1+r_2 cos%phi_2 right)^2+left ( r_1 sin%phi_1+r_2 sin%phi_1 right )^2} #
  9. nitalic tg%phi_3={ r_1 sin%phi_1+r_2 sin%phi_1 } over {r_1 cos%phi_1+r_2 cos%phi_2}
  10. }} right none
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