The line of greatest slope on an inclined plane is that line in the plane which is…
MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry
Problem
The line of greatest slope on an inclined plane P1 is that line in the plane which is perpendicular to the line of intersection of plane P1 and a horizontal plane P2.
The coordinates of a point on the plane 2x+y−5z=0 that is 11 units away from the line of intersection of the given two planes are
(1) (3,1,−1)
(2) (−3,1,1)
(3) (3,−1,1)
(4) (1,3,−1)