The distance of the point from the plane

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

Problem

The distance of the point

(1,-5,9)

from the plane

x-y+z=5

, measured along a line parallel to

x=y=z

, is (1)

3\sqrt{3}

(2)

10\sqrt{3}

(3)

5\sqrt{3}

(4)

3\sqrt{10}