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Let S be the set of all a ∈ R for which the angle between the vectors k ˆ 3 j ˆ 6 i ˆ ) b (log a u e + − = r and k ˆ ) b (log a 2 j ˆ 2 i ˆ ) b (log v e e + + = r , (b > 1) is acute. Then S is equal to

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ∞ − 3 4 ,
2. φ
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 0 , 3 4
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ∞ , 7 12

Correct answer: φ

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