Question

Find the normal form of the equation of the plane that passes through P = (O, - 2, 5 ) and is parallel to the plane with general equation 6x - y + 2z = 3 .

Answer 1

note
the normal vector to plane:(\6x - y + 2z = 3\) is \(<6,-1,2>\)

Answer 2

a normal vector is always of the from: (a,b,c) ?
where aX + by +cz = d (plane)

Answer 3

yes