Find the shortest distance between the lines with vector equations r =(1-t) i +(t-2)…

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

Problem

Find the shortest distance between the lines with vector equations r⃗=(1−t)i^+(t−2)j^+(3−2t)k^\vec{r}=(1-t)\hat{i}+(t-2)\hat{j}+(3-2t)\hat{k} and r⃗=(s+1)i^+(2s−1)j^−(2s+1)k^.\vec{r}=(s+1)\hat{i}+(2s-1)\hat{j}-(2s+1)\hat{k}.

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