Mathegoras

Vectors and matrices › Vectors in the plane › Dot product

Dot product with a cross product of unit vectors

University · ●●●○○ 50 pts

Let u\mathbf{u} and v\mathbf{v} be unit vectors, and let w\mathbf{w} be a vector such that u×v+u=w\mathbf{u} \times \mathbf{v} + \mathbf{u} = \mathbf{w} and w×u=v\mathbf{w} \times \mathbf{u} = \mathbf{v}. Compute u⋅(v×w)\mathbf{u} \cdot (\mathbf{v} \times \mathbf{w}).

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vector triple productscalar triple productcross product