Assuming the plane to be horizontal

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

Problem

Assuming the plane

4x-3y+7z=0

to be horizontal, find the equation of the line of greatest slope through the point

(2, 1, 1)

in the plane

2x+y-5z=0