Find the shortest distance between the lines whose vector equations are ` vec r= hat i+ hat j+lambda(2 hat i- hat j+ hat k)` and ` vec r=2 hat i+ hat j- hat k+mu(3 hat i-5 hat j+2 hat k)dot`

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

Find the shortest distance between the lines 11 and 12 whose vector equations are quad vec r=hat i+hat j+lambda(2hat i-hat j+hat k) (1) and quad vec r=2hat i+hat j-k+mu(3hat i-5hat j+2hat k)

Find the shortest distance between the lines whose vector equations are quad vec r=(1-t)hat i+(t-2)hat j+(3-2t)hat k and vec r=(s+1)hat i+(2s-1)hat j-(2s+1)hat k

vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

Find the shortest distance between the following lines whose vector equations are: vec r=(1-t)hat i+(t-2)hat j+(3-2t)hat k and vec r=(s+1)hat i+(2s-1)hat j-(2s+1)hat k

Find the shortest distance between the lines vec r=(hat i+2hat j+hat k)+lambda(hat i-hat j+hat k) and ,vec r,=2hat i-hat j-hat k+mu(2hat i+hat j+2hat k)

Find the shortest distance between the lines vec r=(hat i+2hat j+hat k)+lambda(hat i-hat j+hat k) and vec r=(2hat i-hat j-hat k)+mu(2hat i+hat j+2hat k)

Find the shortest distance between the lines : vec(r) = (4hat(i) - hat(j)) + lambda(hat(i) + 2hat(j) - 3hat(k)) and vec(r) = (hat(i) - hat(j) + 2hat(k)) + mu (2hat(i) + 4hat(j) - 5hat(k))

Find the shortest distance between the lines: vec(r) = hat(i) + 2 hat(j) - 3 hat(k) + lambda (3 hat(i) - 4 hat(j) - hat(k)) and vec(r) = 2 hat(i) - hat(j) + hat(k) + mu (hat(i) + hat(j) + 5 hat(k)) .

Find the shortest distance between the lines vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)