Find the vector and cartesian equations of the planes
(a)
that passes through the point (1, 0, – 2) and the normal to the plane is
ˆ
ˆ
ˆ i
j
k
+ −
(b)
that passes through the point (1,4, 6) and the normal vector to the plane is
ˆ
ˆ
2ˆ i
j
k
− +
6 Find the equations of the planes that passes through three points