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### Re^2: Rotate a 3D vector

 on Jan 26, 2010 at 19:47 UTC ( #819762=note: print w/replies, xml ) Need Help??

in reply to Re: Rotate a 3D vector
in thread Rotate a 3D vector

how do you find the angles è, ö, and ø between two vectors?

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Re^3: Rotate a 3D vector
by Anonymous Monk on Apr 28, 2010 at 23:02 UTC
To find the angle between the two vectors, you need to normalize them (so they have length of 1 unit) by doing this (v is the vector you want to normalize):
```float distance = sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
v.x = v.x/distance;
v.y = v.y/distance;
v.z = v.z/distance;
Then find the dot product of the two normalized vectors (Va and Vb):
```float dotProduct = Va.x*Vb.x + Va.y*Vb.y + Va.z*Vb.z;
This gives you the cosine of the angle, so simple do:
```acos(dotProduct);
This will give you the angle. I think this post was a bit late :S

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