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Paragraph: Consider the lines: L₁: x+1 3 = y+2 1 = z+1 2 , L₂: x-2 1 = y+2 2 = z-3 3 Question: The shortest distance between L₁ and L₂ is

Options

  1. A0
  2. B17 / 3
  3. C41 / 5 3
  4. D17 / 5 3

Correct answer

D. 17 / 5 3

Step-by-step solution

The shortest distance between L₁ and L₂ is array r | (2-(-1)) i +(2-2) j +(3-(-1)) k (- i -7 j +5 k ) 5 3 | = | (3 i +4 k ) (- i -7 j +5 k ) 5 3 |= 17 5 3 array

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