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 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 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 two lines whose vector equations are : vec(r)=(hat(i)+hat(j))+t(2hat(i)-hat(j)+hat(k)), vec(r)=(2hat(i)+hat(j)-hat(k))+s(3hat(i)-5hat(k)+2hat(k))

Find the shortest distance between the two lines whose vector equations are : vec(r)=(hat(i)+2hat(j)+3hat(k))+t(2hat(i)+3hat(j)+4hat(k)), vec(r)=(2hat(i)+4hat(j)+5hat(k))+s(3hat(i)+4hat(j)+5hat(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 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 : vec(r)_(1)=2hat(i)+3hat(j)+4hat(k)+lamda(2hat(i)-hat(j)+hat(k)) vec(r)_(2)=3hat(i)-2hat(j)-hat(k)+mu(3hat(i)+2hat(j)-4hat(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))