Maths
Vectors
You may also be asked to find the co-ordinates of a point which divides the directed line segment in a given ratio. There are many different ways of writing this down. The model we're showing you below is one of the simpler ways!
Find the co-ordinates of P which divides A(2, 7, 8) and B(7, 17, 28) in the ratio 3:2.
Choose two directed line segments. One which does not involve P and one which does involve P.
Write down the ratio for the chosen line segments
i.e.
so
Find the collinear vector
Complete your working
starts at A=(2, 7, 8), finishes
Find the co-ordinates of T which divides A(1, -2, 7) and B(9, 10, -5) in the ratio 1:3.
i.e.
so
starts at A=(1, -2, 7),finishes at T=(3, 1, 4)
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