Find the shortest distance between the lines:
`vecr=3 hati+8 hatj+3 hatk+lambda(3 hati-hatj+hatk)` and `vecr=-3 hati-7 hatj+6 hatk+mu(-3 hati+2 hatj+4 hatk)`

Find the shortest distance between the lines vecr =(2hati-hatj-hatk)+lambda(3hati-5hatj+2hatk) and vecr =(hati+hatj+hatk)+mu(hati-hatj+hatk)

Find the shortest distance between the lines vecr = 6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr = -4hati-hatk+mu(3hati-2hatj-2hatk)

Find the angle between the following pairs of lines: i) vecr=2 hati-5 hatj+hatk+lambda(3 hati+2 hatj+6 hatk) and vecr=7 hati-6 hatk+mu(hati+2 hatj+2 hatk) (ii) vecr=3 hati+hatj-2 hatk+lambda(hati-hatj-2 hatk) and vecr=2 hati-hatj-5 6 hatk+mu(3 hati-5 hatj-4 hatk)

Find the angle between the pair of lines given by barr=3 hati+2 hatj-4 hatk+lambda(hati+2 hatj+2 hatk) and vecr=5 hati -2 hatj+mu(3 hati+2 hatj+6 hatk)

Find the shortest distance between the lines l_1 and l_2 barr=hati+hatj+ lambda(2 hati-hatj+k) and barr=2 hati+hatj-hatk+mu^*(3 hati-5hatj+2 hatk)