show that the line r= (6i+j+2k)+s(i+2j-3k) and r=(3i+2j-2k)+t(2i+4j-5k), find shortest distance them

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14. Find the shortest distance between the lines whose vector equations are r ⃗=(i ̂+2j ̂+3k ̂ )+

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Find the shortest distance between the lines r= (2i - j+ 3k ) + lambda*(i − 2j + 3k) , r = (i + 4k)+

Find the shortest distance between the lines r=(i+2j+3k)+(i–3 j+2k) and r= 4i+ 5j + 6k+ u(2i+3j+k).

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Write the following equation of a line in Cartesian form r=(i+2j+3k)+Lambda(i-3j+2k)

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