alondramorales4660 alondramorales4660
  • 22-06-2018
  • Mathematics
contestada

Find an equation for the plane that is perpendicular to the line l(t) = (3, 0, 9)t + (6, −1, 1) and passes through (7, −1, 0).

Respuesta :

AlonsoDehner AlonsoDehner
  • 11-10-2018

Answer:


x+3z =7 is the equation of the plane.

Step-by-step explanation:

The line can be written as

[tex]\frac{x-6}{3} =\frac{y+1}{0} =\frac{z-1}{9} =t[/tex]

The line since perpendicular to the plane is normal to the plane.

Direction ratios of the line are (3,0,9)

SO plane has normal with DR (3,0,9) and plane passes through (7,-1,0)

3(x-7)+0(y+1)+9(z-0) =0

3x+9z =21

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