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Angle between two quaternions?

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Sigh. I give up. I don''t understand this. The dot product between two unit quaternions should be cosV, where 2V is the (closest) angular separation between the quaternions (2V = 0-180 degrees, cosV = 0-1). But when I try the dot product between D3DXQuaternionRotationYawPitchRoll( q1, PI/2, 0, 0 ) and D3DXQuaternionRotationYawPitchRoll( q2, 0, 0, PI/2 ), I get 0.5, that is 60 degrees. I thought it should''ve been 45 degrees (half of 90)? I''ve tried some other unit quaternions as well, and it seems that the dot product (cosV) is not always between 0 and 1. What''s up? -Smedis

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