find the coordinates of P that divides AB internally in the ratio 2:3, where A(1,1) and B(-4,6).

i) using the vector method

Question

find the coordinates of P that divides AB internally in the ratio 2:3, where A(1,1) and B(-4,6). 
i) using the vector method

Robert · Accepted Answer

OA = i + j 
OB = -4i + 6j 
AB = -5j + 5j 
Let the internal point be M. 
So, OM = OA + 2/5AB = i + j +2/5(-5j + 5j) = -i + 3j 
Hence, M is (-1,3)

Solution