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.

 

[Maths] In the realistic city model, a model track and a road above - Practice Questions CBSE - Maths Class 12 (2023 Boards)

part 2 - Question 34 (Choice 1) - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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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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