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Vector Algebra
Question
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A point P divides a line segment AB in the ratio A : 1. Give the values of A for which P lies outside AB and 
(i) nearer A than B    (ii) nearer B than A.

Answer

When P lies outside AB and is nearer to A than B. then AP<PB.
Also division is external
∴   – 1 < λ < 0
When P is nearer to B than A, the AP > PB
∴  λ < – I

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