Let O be the origin and consider the lines, L_{1}: \mathbf{r}=(2,0,1)+\lambda(-1,0,1) L_{2}: \mathbf{r}=(1,-1,8)+\mu(2,-1,4) Show that L1and L2 intersect and let C denote their point of intersection. Determine the magnitude of OĆ. ) Give an example of a line that passes through the origin and is perpendicular to L1.Give your answer in vector form.

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