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KEAM 2010 Math Paper

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Question : 10

Total: 120

Let A(1,−1,2) and B(2,3−1) be two points. If a point P divides AB internally in the ratio 2:3, then the position vector of P is

‌
1
√5
(
∧
i
+
∧
j
+
∧
k
)
‌
1
√3
(
∧
i
+6
∧
j
+
∧
k
)
‌
1
√3
(
∧
i
+
∧
j
+
∧
k
)
‌
1
5
(7
∧
i
+3
∧
j
+4
∧
k
)
‌
1
√5
(
∧
i
+6
∧
j
+9
∧
k
)

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