Question

In the figure, AD is median where the position vectors of
A and D are 31 -2; and - 31 - 4j respectively. Find the
position vector of centroid G.​

Answer 1

Answer:

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Answer 2

Question: In the figure, AD is median where the position vectors of

A and D are 3i -2j and - 3i - 4j respectively. Find the

position vector of centroid G.​

Answer: -i - $\frac{10}{3}$ j

Step-by-step explanation:

Solution:

OA = 3i - 2j

OD = -3i - 4j

Now,

OG =  $\frac{m OD + n OA}{m+n}$

       =$\frac{2(-3i-4j) + 1(3i - 2j)}{2+1}$

       =1/3 (-6i -8j + 3i -2j)

       = 1/3 (-3i -10j)

       = -i - $\frac{10}{3}$ j