Solid state physics problem

[Syed Bilal]

hi,
i dont know how to determine bravais lattice from primitive translation vectors.The problem is as:
A crystal with one atom basis, has a set of primitive translational vectors as a1=3i, a2= 3j and a3= (3/2)(i+j+k). What is the bravais lattice.

[DrDu]

What are the angles between these vectors? With which lattices are they compartible?

[Syed Bilal]

What are the angles between these vectors? With which lattices are they compartible?

The problem did not give any angels but i think that finding angles between them is not hard as i j and k are the unit vectors using trignometry angles can be easily determined. I have no idea with which lattices they are compatible