JEE Math Practice Question
The distance between the line $$\overrightarrow r = 2\widehat i - 2\widehat j + 3\widehat k + \lambda \left( {i - j + 4k} \right),$$ and the plane $$\overrightarrow r .\left( {\widehat i + 5\widehat j + \widehat k} \right) = 5$$ is
- A.$${{10} \over 9}$$
- B.$${{10} \over {3\sqrt 3 }}$$
- C.$${{3} \over 10}$$
- D.$${{10} \over 3}$$
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