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

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

Answered Same DayDec 20, 2021

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

Robert answered on Dec 20 2021

130 Votes

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)