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Can we, by any means, find the angle between two vectors without knowing any other parameters?

To be precise i have two velocities but do not know any angles and want to calculate the angle between these vectors


Lets say find the angle between two unit vectors a and b

so the angle = atan2(norm(cross(a,b)),dot(a,b))
0 0 0
but the cross product and dot will require some angle!
atan2 is a built in function in programming...but is cross(a,b) or dot(a,b)?
this time parameter is required
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