Question

what is the equation of the plane that passes through (1,2,-5) and is perpendicular to the planes 2x-y+z=1 and 2x+y+z=2?

Answer 1

a point cant be (1,2,-5)?

Answer 2

3d-space @OpenSessame

Answer 3

Ahhh....Okay. So perpendicular means...? @zabrina_bernice

Answer 4

Atit intersects at 90 degree angles.

Answer 5

perpendicular planes imply the dot product of vectors is 0
vector <a,b,c> is perpendicular to <2,-1,1> and <2,1,1>

--> 2a-b+c = 0
and
--> 2a+b+c = 0

Answer 6

therefore b =0

--> 2a+c = 0

a = 1
c = -2

Answer 7

vector is <1,0,-2> goes through point (1,2,-5)

--> (x-1) + 0(y-2) -2(z+5) = 0

--> x -2z = 11