Given four points ,

MATHEMATICS · Single correct · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Given four points

A(0,1,0)

B(1,0,1)

C(3,0,1)

and

D(0,0,0)

. Point

D

lies on a line

l

orthogonal to the plane determined by points

A

B

and

C

. What is the perpendicular distance of

D

from plane

ABC

? (1)

\sqrt{2}

(2)

\frac{1}{2}

(3)

2

(4)

\frac{1}{\sqrt{2}}