Two vertices of a triangle ABC are A(2, -4, 3) and B(3, -1, -2), and its centroid is (1, 0, 3). Find its third vertex C.
Since the centroid of a triangle
The points are A(2, -4, 3) and B(3, -1, -2), and its centroid is (1, 0, 3). And let its third vertex C(a,b,c).
Using the formula, we get
Equating it with the coordinates of centroid, we get
a = -2
b = -5
and,
c = 7
therefore, the point is (-2,-5,7)