Let the equation of the plane containing the line of intersection of the planes and

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Let the equation of the plane containing the line of intersection of the planes

x - y - z - 4 = 0

and

x + y + 2z - 4 = 0

, and parallel to the line of intersection of the planes

2x + 3y + z = 1

and

x + 3y + 2z = 2

, be

x + Ay + Bz + C = 0

. Then the value of

|A + B + C - 4|

is .....