Find the planes passing through the intersection of planes and and perpendicular to…

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Find the planes passing through the intersection of planes

r \cdot (2\hat{i} - 3\hat{j} + 4\hat{k}) = 1

and

r \cdot (\hat{i} - \hat{j}) + 4 = 0

and perpendicular to planes

r \cdot (2\hat{i} - \hat{j} + \hat{k}) = -8