# If P : x+ay-3z+3=0 and Q : x+2y-bz+c=0 are two parallel planes such that sum of intercepts made by Q on the axes is 14 then value of (a + b + c) will be=?

##### 1 Answer

Mar 22, 2018

See below.

#### Explanation:

If the planes

are parallel then their normal vectors are aligned or

now the

then

which is equivalent to

Solving for

and finally