Which of the following planes is parallel to ABCD

P

1

:4x−2y+6z=3

P

2

=4x−2y−2z=6

P

3

=−6x+3y−9z=5

P

4

=2x−y−z=3

Step-by-step explanation:

The coefficients of each x,y,z give the direction vector of the normal vector of the plane.

Parallel but not identical condition will be that:

x

2

x

1

=

y

2

y

1

=

z

2

z

1



=

c

2

c

1

where each term is the coefficent of x,y,z respectively.

By observation we see P

2

and P

3

are parallel but not identical.