InterviewSolution
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InterviewSolution
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The shortest distancebetween the lines `(x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4`isa. `sqrt(30)`b. `2sqrt(30)`c. `5sqrt(30)`d. `3sqrt(30)`A. `sqrt30`B. `2sqrt30`C. `5sqrt30`D. `3sqrt30` |
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Answer» Correct Answer - d Given lines are `vecr = 3hati + 8hatj + 3hatk + l(3hati - hatj +hatk)` and `vecr = - 3hati - 7hatj + 6hatk + m(-3hati + 2hatj + 4hatk)` Required shortest distance `=(|(6hati + 15hatj- 3hatk) .((3hati - hatj +hatk)xx(-3hati + 2hatj + 4hatk))|)/(|(3hati - hatj + hatk)xx(-3hati + 2hatj +4hatk)|)` `=(|(6 hati + 15hatj - 3hatk).(-3hati - 15hatj + 3hatk)|)/(|-6 hati - 15hatj + 3hatk|)` `=(36+225+9)/(sqrt(36+225+9)) = (270)/(sqrt(270)) = sqrt(270) = 3sqrt(3)` |
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