In a tetrahedron OABC

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

In a tetrahedron OABC, if OA=i^\mathbf{OA} = \hat{i}, OB=i^+j^\mathbf{OB} = \hat{i} + \hat{j}, and OC=i^+2j^+k^\mathbf{OC} = \hat{i} + 2\hat{j} + \hat{k}, and the shortest distance between edges OA and BC is mm, then 2m\sqrt{2}m is equal to what? (Where O is the origin)

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