the shortest distance between the skew lines `vecr= 3i +8j +3k + alpha(3i-j +k)` and `vecr =-3i-7j+6k+beta(-3i +2j +4k)` is

the shortest distance between the skew lines vec r=3i+8j+3k+alpha(3i-j+k) and vec r=-3i-7j+6k+beta(-3i+2j+4k)

Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j + ⃗ k ) + λ ( ⃗ i − ⃗ j + ⃗ k ) and ⃗ r = ( 2 ⃗ i − ⃗ j − ⃗ k ) + η ( 2 ⃗ i + ⃗ j + 2 ⃗ k )

Find the shortest distance between the lines barr=i+j+lambda(2i-j+k) and barr=2i+j-k+mu(3i-5j+2k)

Find the shortest distance between the lines barr=i+2j+3k+lambda(i+j+k) and barr=i+j+k+mu(i+j+k)

Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5j+2k) and barr=(i+2j+k)+mu(i-j+k)