Posted by **benjieo** on Tuesday, November 25, 2014 at 12:32pm.

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.

- vectors( need answer asap) -
**MathMate**, Tuesday, November 25, 2014 at 12:49pm
The centroid of a triangle is located at 2/3 of the length of any median.

Median=(OA+OB)/2=<5,1>

2/3 from vertex (origin)=<10/3,2/3>.

Another way:

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:

<0,0>

<4,3>

<6,-1>

The mean of x=10/3, mean of y=2/3

So G is at <10/3,2/3>.

- vectors( need answer asap) -
**If position vector OA, OB,OC are defined**, Thursday, October 20, 2016 at 1:38pm

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