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Ratio Theorem – Vectors

Ratio theorem states that if the point divides AB in the ratio λ : µ, then the point has a position vector of (µab)/(λ +µ). This information can be found in the formula booklet if you are taking H2 A Level Math.

Let’s use the diagram below to look at how to apply ratio theorem in greater detail:

diagram showing how to apply ratio theorem in vectors.
formula for ratio theorem.

Related article: Apply ratio theorem to this question

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