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 April 16, 2024 by Teachoo

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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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.

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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

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