[" 15.Find the distance between the parallel lines "vec r=hat i+2hat jmath-4hat k+m(2hat imath+3hat jmath+6hat k)" and "],[vec r=3hat imath+3hat jmath-5hat k+n(2hat imath+3hat jmath+6hat k)]

Find the distance between the parallel lines vec(r)=hat(i)+2hat(j)-4hat(k)+m(2hat(i)+3hat(j)+6hat(k)) " and " vec(r)=3hat(i)+3hat(j)-5hat(k)+n(2hat(i)+3hat(j)+6hat(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-4hat k)+lambda(2hat i+3hat j+6hat k),vec r=(3hat i+3hat j-5hat k)+lambda(2hat i+3hat j+6hat k)

Find the angle between the lines vec r=3hat i+2hat j-4hat k+lambda(hat i+2hat j+2hat k) and vec r=(5hat j-2hat k)+mu(3hat i+2hat j+6hat 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 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)

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)+u(2hat i+4hat j-5hat k)

A point on the line vec r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

Find the angle between the following pairs of lines: (i) quad vec r=2hat i-5hat j+hat k+lambda(3hat i+2hat j+6hat k) and vec r=3hat i+hat j-2hat k+lambda(hat i-hat j-2hat k)vec r=3hat i+hat j-26hat k+mu(3hat i-5hat j-2hat k)