The angle (θ) between two vectors a and b is found with the formula θ = cos - 1 [ (a . b) / (|a| |b|) ] . The angle between two equal vectors is 0 degrees as θ = cos - 1 [ (a. a) / (|a| |a|) ] = cos - 1 (|a| 2 /|a| 2 ) = cos - 1 1 = 0°.
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The cosine of the angle between two vectors can be calculated by dividing the dot product of the vectors by-product of their magnitudes. |
Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them. ... angle between two vectors of length ... |
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