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Question

Mathematics Question on Shortest Distance between Two Lines

The distance of the point ( -1,2,3) from the plane r(iˆ2jˆ+3kˆ)=10\overrightarrow{r}( \^i−2 \^j+3 \^k )=10 parallel to the line of the shortest distance between the lines r=(iˆ=jˆ)+λ(2iˆ+kˆ)\overrightarrow{r}=(\^i=\^j)+λ(2\^i+\^k) and r=(2iˆ=jˆ)+μ(iˆ+jˆ+kˆ)\overrightarrow{r}=(2\^i=\^j)+μ(\^i+\^j+\^k) is

A

353\sqrt5

B

262\sqrt6

C

363\sqrt6

D

252\sqrt5

Answer

262\sqrt6

Explanation

Solution

The correct option is(B): 262\sqrt6