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The length of the shortest distance betw...

The length of the shortest distance between the lines, ` vec r_1=3 hat i+6 hat j+lambda(-4 hat i+3 hat j+2 hat k)` and ` vec r_2=-2 hat i+7 hat k+mu(-4 hat i+ hat j+ hat k)` is 9 (b) 6 (c) 3 (d) None of these

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Knowledge Check

  • The shortest distance between the line L_1=(hat i - hat j hat k) lambda (2 hat i - 14 hat j 5 hat k) and L_2=(hat j hat k) mu (-2 hat i - 4 hat 7 hat) then L_1 and L_2 is

    A
    `frac{5}{sqrt (221)}`
    B
    `frac{10}{sqrt (221)}`
    C
    `frac{2}{sqrt (221)}`
    D
    `frac{5}{11}`

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