IEVref:102-03-29ID:
Language:enStatus: backup
Term: angle (between two vectors)
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Definition: real number ϑ such that 0 ≤ ϑ ≤ π, the cosine of which is the ratio of the scalar product of two given real vectors U and V to the product of their magnitudes:

ϑ=arccos U⋅V |U|⋅|V| MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg9akjabg2da9i aabggacaqGYbGaae4yaiaabogacaqGVbGaae4CamaalaaabaGaaCyv aiabgwSixlaahAfaaeaadaabdaqaaiaahwfaaiaawEa7caGLiWoacq GHflY1daabdaqaaiaahAfaaiaawEa7caGLiWoaaaaaaa@4BED@

NOTE The angle of two vectors is always defined because the inequality | U⋅V|≤|U|⋅|V| MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaemaabaGaaCyvai abgwSixlaahAfaaiaawEa7caGLiWoacqGHKjYOdaabdaqaaiaahwfa aiaawEa7caGLiWoacqGHflY1daabdaqaaiaahAfaaiaawEa7caGLiW oaaaa@4BF6@ is valid for the scalar product.


Publication date:2007-08
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