vectors( need answer asap)
posted by benjieo .
The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.
The centroid of a triangle is located at 2/3 of the length of any median.
2/3 from vertex (origin)=<10/3,2/3>.
It turns out that the coordinates of the centroid of a triangle is the mean of the x and y coordinates of the vertices.
In this case, the coordinates are:
The mean of x=10/3, mean of y=2/3
So G is at <10/3,2/3>.