Find Vector b Given a: |a|=3, Perpendicular to a

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1. Find a.b given the following information
|a|=3

two vectors a.b are perpendicular to each other

b
|
|
|
|__________a


3. |a| = 3
a = squareroot of 3,

if B is a vector perpendicular to a,
dunno what to do from here,

quick response please
 
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One definition for the dot product is
a [itex]\cdot[/itex] b = |a||b| cos([itex]\theta[/itex])
where [itex]\theta[/itex] is the angle between the vectors.