zoiebrown8684 zoiebrown8684
  • 21-01-2020
  • Mathematics
contestada

Find an equation for the plane containing the point (1, 2, 3) and parallel to the plane x 2y 3z

Respuesta :

fortuneonyemuwa
fortuneonyemuwa fortuneonyemuwa
  • 22-01-2020

Answer:

Step-by-step explanation:

Heres the full question and solution:

Find an equation for the plane containing the point (1,2,3) and parallel to the plane x+2y+3z=5.

solution

Any plane parallel to [tex]x+2y+3z=5[/tex] is  [tex]x+2y+3z=d [/tex]

since the plane is passing through [tex](1,2,3)[/tex]

we substitute point in equation

[tex]1+2\times 2+3\times 3=d\\d=14 \\x+2y+3z=14[/tex]

equation of the line is [tex]x+2y+3z=14[/tex]

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