Question #115682
Suppose u; v and w are vectors in 3 space, where u = (u1;u2; u3) ; v = (v1; v2; v3) and w = (w1;w2;w3) :
Express (u x v) x w as a determinant
1
Expert's answer
2020-05-13T18:31:45-0400

(uv)w=(w.u)v(w.v)u(\vec{u}*\vec{v})*\vec{w}=(\vec{w}.\vec{u})\vec{v}-(\vec{w}.\vec{v})\vec{u}

=(w.u)(w.v)uv=\begin{vmatrix} (\vec{w}.\vec{u})& (\vec{w}.\vec{v})\\ \vec{u} & \vec{v} \end{vmatrix}


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