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Choose correct alternatives : The shortest distance between the lines andμr→=(i^+2j^+k^)+λ(i^-j^+k^)andr→=(2i^-j^-k^)+μ(2i^+j^+2k^) is ______. - Mathematics and Statistics

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Question

Choose correct alternatives :

The shortest distance between the lines `vecr = (hati + 2hatj + hatk) + lambda(hati - hatj + hatk) and vecr = (2hati - hatj - hatk) + μ(2hati + hatj + 2hatk)` is ______.

Options

  • `(1)/sqrt(3)`

  • `(1)/sqrt(2)`

  • `(3)/sqrt(2)`

  • `sqrt(3)/(2)`

MCQ
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Solution

The shortest distance between the lines `vecr = (hati + 2hatj + hatk) + lambda(hati - hatj + hatk) and vecr = (2hati - hatj - hatk) + μ(2hati + hatj + 2hatk)` is `bb(underline((3)/sqrt(2))`.

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Distance Between Skew Lines and Parallel Lines
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Chapter 6: Line and Plane - Miscellaneous Exercise 6 B [Page 224]

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