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Problem If u ⃗ \vec{u} u v ⃗ \vec{v} v α \alpha α β \beta β x x x u ⃗ ⋅ v ⃗ \vec{u}\,\cdot\,\vec{v} u ⋅ v sin ( α − β ) \sin(\alpha-\beta) sin ( α − β ) cos ( α − β ) \cos(\alpha-\beta) cos ( α − β ) cos ( α + β ) \cos(\alpha+\beta) cos ( α + β ) cos α cos β \cos\alpha\cos\beta cos α cos β Browse the problem library