Statement I Distance of point from the plane of points

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

Problem

Statement I Distance of point

D(1, 0, -1)

from the plane of points

A(1, -2, 0)

B(3, 1, 2)

and

C(-1, 1, -1)

\frac{8}{\sqrt{229}}

. Statement II Volume of tetrahedron formed by the points

A

B

C

and

D

\frac{\sqrt{229}}{2}