Given that the nonzero vector AB satisfies B = 1 and the angle between B and B-A is 30, then the value range of a is

Obviously | a | = | - a |, so let C = - A
The angle between B and B + C is 30 degrees
A simple graph shows that the minimum value of | C | is 1 / 2, and the maximum value tends to infinity
That is | a | > = 1 / 2

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