# Linear Algebra

posted by
**Raf**
.

4 points A,B,C and D are situated in a 3-dimensional space. In a certain spot, the coordinates of A, C and D are known:

A(1,1,1)

C(2,0,1)

D(0,3,0)

The coordinates of the barycentre of {A,B,C} are: (4/3, 1/3, 4/3).

a) Determine the coordinates of point B in the used spot.