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Let A, B, C be three points whose position vectors respectively are a r = k ˆ 3 j ˆ 4 i ˆ + + ; b r = k ˆ 4 j ˆ i ˆ 2 + α + , α∈ R ; k ˆ 5 j ˆ 2 – i ˆ 3 c + = r If α is the smallest positive integer for which a,b,c are non collinear, then the length of the median, in Δ ABC, through A is:

1. 2 82
2. 2 62
3. 2 69
4. 2 66

Correct answer: 2 82

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