Is the equation [itex]x+y+z=0[/itex] the xyz-plane ?(i.e.

[Ted123]

Is the equation $x+y+z=0$ the xyz-plane?(i.e.

Is the equation $x+y+z=0$ the xyz-plane?

(i.e. points that are multiples of $(1,1,1)$)

 

[gb7nash]

(i.e. points that are multiples of $(1,1,1)$)

This is the description of a line, not a plane. What are the parametric equations that describe this line?

(In any case, you can easily check your work by plugging in (1,1,1) into your equation)