A unit incident vector is and the corresponding unit reflected vector is

PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A unit incident vector is s=45 i^+35 j^\mathbf{s}=\tfrac{4}{5}\,\hat{\mathbf{i}}+\tfrac{3}{5}\,\hat{\mathbf{j}} and the corresponding unit reflected vector is r=45 i^−35 j^\mathbf{r}=\tfrac{4}{5}\,\hat{\mathbf{i}}-\tfrac{3}{5}\,\hat{\mathbf{j}}. Find a unit normal vector to the reflecting plane that makes an acute angle with s\mathbf{s}.

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