Determine the shortest distance between the lines l 1 and l 2 whose vector equations are r^{\rightarrow} = 2ı^{^} + ȷ^{^} + \lambda (2ı^{^}−ȷ^{^} + k^{^})\:\ldots(1) r^{\rightarrow} = 3ı^{^} + ȷ^{^}−k^{^} + \mu (3ı^{^}−5ȷ^{^} + 2k^{^})\:\ldots(2)

AAI ATC Junior Executive 25 Mar 2021 Shift 2 Paper

Question : 72 of 120

Marks: +1, -0

Determine the shortest distance between the lines l₁ and l₂ whose vector equations are

r↖{⟶} = 2ı↖{^} + ȷ↖{^} + λ (2ı↖{^}−ȷ↖{^} + k↖{^})\:…(1)

r↖{⟶} = 3ı↖{^} + ȷ↖{^}−k↖{^} + µ (3ı↖{^}−5ȷ↖{^} + 2k↖{^})\:…(2)

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