Katied8547 Katied8547
  • 14-01-2020
  • Mathematics
contestada

if r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.

Respuesta :

alexiszalcman
alexiszalcman alexiszalcman
  • 16-01-2020

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form [tex](x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1[/tex] with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

[tex]|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1[/tex]

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