Check sibling questions

In a realistic city model, a metro track and a road above it are straight lines represented by i ̂-2j ̂+2k ̂+λ(i ̂+2j ̂-3k ̂ ) and 2i ̂-2j ̂+3k ̂+μ(-i ̂+j ̂+2k ̂ ) respectively.

Find the shortest distance between the metro track and the road, in the model. Show your work.

 


Transcript

In a realistic city model, a metro track and a road above it are straight lines represented by 𝑖 ̂−2𝑗 ̂+2𝑘 ̂+𝜆(𝑖 ̂+2𝑗 ̂−3𝑘 ̂ ) and 2𝑖 ̂−2𝑗 ̂+3𝑘 ̂+𝜇(−𝑖 ̂+𝑗 ̂+2𝑘 ̂ ) respectively. Find the shortest distance between the metro track and the road, in the model. Show your work.

  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo