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 following pairs of line whose vector equation are: vec r=(1-t) hat i+(t-2) hat j+(3-t) hat k a n d\ vec r=(s+1) hat i+(2s-1) hat j-(2s+1) hat 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

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

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

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(3 hat i+5 hat j+7 hat k)+lambda( hat i-2 hat j+7 hat k)a n d\ vec r=- hat i- hat j- hat k+mu(7 hat i-2 hat j+ hat k)

Find the shortest distance between the following pairs of line whose vector equation are: vec r=( hat i+2 hat j+3 hat k+lambda(2 hat i+3 hat j+4 hat k)a n d\ vec r=(2 hat i+4 hat j+5 hat k)+mu(3 hat i+4 hat j+5 hat k)

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

Find the shortest distance between the lines whose vector equations are: vec r=2 hat i- hat j- hat k+lambda(2 hat i-5 hat j+2 hat k)a n d\ , vec r= hat i+2 hat j+ hat k+ mu( hat i- hat j+ hat k)dot

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

Find the shortest distance between the following pairs of parallel lines whose equations are : vec(r)=(hat(i)+hat(j))+t'(2hat(i)-hat(j)+hat(k)) and vec(r)=(2hat(i)+hat(j)-hat(k))+s'(4hat(i)-2hat(j)+2hat(k))