Question

Find an equation of a plane making angle of pi/2 with the plane 3x + y - 4z = 2

Answer 1

for angle of pi/2, that makes planes perpendicular

the directional vectors are perpendicular when dot product is zero

u=<3,1,-4> , v = <a,b,c>

u*v = 3a+b-4c = 0

find set of (a,b,c) that satisfies equation