[" Find the minimum distance between the line "I_(1)" and "l_(2)" given by: "],[qquad vec r=hat i+2hat j-4hat k+lambda(2hat i+3hat j+6hat k)]

Find the distance between the lines L_(1) and L_(2) given by : vec(r) = hat(i) + 2 hat(j) - 4 hat(k) + lambda (2 hat(i) + 3 hat(j) + 6 hat(k)) and vec(r) = 2 hat(i) + 3 hat(j) - 5 hat(k) + mu (2 hat(i) + 3 hat(j) + 6 hat(k)) .

Find the distance between the lines l_(1) and given by quad vec r=hat i+2hat j-4k+lambda(2hat i+3hat j+6hat k) and quad vec r=3hat i+3hat j-5k+mu(2hat i+3hat j+6hat k)

Find the distance between the lines l_1a n d\ l_2 given by vec r= hat i+2 hat j-4 hat k+lambda(2 hat i+3 hat j+6 hat k)a n d\ ,\ vec r=3 hat i+3 hat j-5 hat k+mu(2 hat i+3 hat j+6 hat k)dot

Find the distance between the lines l_(1) and l_(2) given by vec(r)=(hat(i)+2hat(j)-4hat(k))+lamda(2hat(i)+3hat(j)+6hat(k)) and vec(r)=(3hat(i)+3hat(j)-5hat(k))+mu(2hat(i)+3hat(j)+6hat(k))

Find the distance between the lines l_1 and l_2 given by vec r= hat i+2 hat j-4k+lambda(2 hat i+3 hat j+6 hat k) and vec r=3 hat i+3 hat j-5k+mu(2 hat i+3 hat j+6 hat k) .

Find the shortest distance between the lines L_(1) " and " L_(2) given by vec( r )=hat(i) +hat(j) +lambda(2hat(i)-hat(j)+hat(k)) " and " vec(r )=2hat(i) +hat(j)-hat(k) +mu (4hat(i) -2hat(j) +2hat(k))

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

Find the shortest distance between the lines vec r=(hat i+2hat j-4hat k)+lambda(2hat i+3hat j+6hat k),vec r=(3hat i+3hat j-5hat k)+lambda(2hat i+3hat j+6hat k)