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Practice Questions CBSE - Maths Class 12 (2023 Boards)

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Question 34 (Choice 1) - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at March 28, 2023 by

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.

 

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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.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.