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Find the shortest distance between the ...

Find the shortest distance between the
lines whose vector equations are
`vecr=(i+2j+3k)+lambda(i-3j+2k)` and
`vecr=(4i+5j+6k)+mu(i-3j+2k)`

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find the shortest distance between the pair of lines barr=(i+2j+3k)+lambda(i-3j-2k) barr=(4i+5j+6k)+mu(2i+3j+k)

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The length of the shortest distance between the two lines r=(-3i+6j)+s(-4i+3j+2k) and r=(-2i+7k)+t(-4i+j+k) is

The angle between the vectors i+j and j+k is

Find the distance between the line barr=i+j+lambda(2i+j+4k) and the plane barr.(-2i+k)=5 .

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