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MHT CET20239 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

The distance of the point having position vector i -2 j -6 k , from the straight line passing through the point (2,-3,-4) and parallel to the vector 6 i +3 j -4 k is units.

Options

  1. A340 61
  2. B341 61
  3. C341 61
  4. D341 61

Correct answer

D. 341 61

Step-by-step solution

Given equation of the line is aligned & r = a + b & r =2 i -3 j -4 k + (6 i +3 j -4 k ) & aligned To find: Its distance from point = i -2 j -6 k . Required distance = | - a |^2- [ ( - a ) b | b | ]^2 Here, | - a |^2=6 and [ ( - a ) b | b | ]^2= 25 61 . Requiređ distance = 341 61

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