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Section Formula

If a̅, b̅ a...

Question

If $¯ a, ¯ b$ are the position vectors of $A, B$ respectively and $C$ is a point on $A B$ produced such that $A C = 3 A B$ , then the position vectors of $C$ ?

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Solution

AC=OC-OA

AB=OB-OA

AC=3AB

OC-OA=3(OB-OA)

OC=3b-2a

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