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L et the position vectors of the points P,Q,R and S be , k ˆ 3 j ˆ 6 i ˆ 3 b , k ˆ 5 j ˆ 2 i ˆ a       k ˆ 7 j ˆ 5 16 i ˆ 5 17 c    and , k ˆ j ˆ i ˆ 2 b    respectively. Then which of the following statements is true?

1. The points P, Q, R and S are NOT coplanar
2. 3 d 2 b  is the position vector of a point which divides PR internally in the ratio 5 : 4
3. 3 d 2 b  is the position vector of a point which divides PR externally in the ratio 5 : 4
4. The square of the magnitude of the vector d b  is 95

Correct answer: 3 d 2 b  is the position vector of a point which divides PR internally in the ratio 5 : 4

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