If the origin is the centroid of the triangle PQR with vertices

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

3. If the origin is the centroid of the triangle PQR with vertices

\mathrm{P}(2 a, 2,6)

\mathrm{Q}(-4,3 b,-10)

and

\mathrm{R}(8,14,2 c)

, then find the values of

a, b

and

c