Show that the lines ` vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat j)a n d vec r=(4 hat i- hat k)+mu(2 hat i+3 hat k)` are coplanar. Also, find the plane containing these two lines.

Show that the lines vec r=(hat i+hat j-hat k)+lambda(3hat i-hat j) and vec r=(4hat i-hat k)+mu(2hat i+3hat k) are coplanar.Also,find the plane containing these two lines.

Show that the lines vec r=hat i+hat j+hat k+lambda(hat i-hat j+hat k) and vec r=4hat j+2hat k+mu(2hat i-hat j+3hat k) are coplanar.Also,Find the equation of the plane containing these lines.

Show that the lines vec r=(2 hat j-3 hat k)+lambda( hat i+2 hat j+3 hat k)a n d\ vec r=(2 hat i+6 hat j+3 hat k)+mu(2 hat i+3 hat j+4 hat k) are coplanar. Also, find the equation of the plane containing them.

Show that the lines vec r=(2 hat j-3 hat k)+lambda( hat i+2 hat j+3 hat k) and vec r=(2 hat i+6 hatj+3 hat k)+mu(2 hat i+3 hat j +4hat k) are coplanar. Also, find the equation of the plane containing them.

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)

If vec r=(hat i+2hat j+3hat k)+lambda(hat i-hat j+hat k) and vec r=(hat i+2hat j+3hat k)+mu(hat i+hat j-hat k) are bisector of two lines is

The lines vec r=(hat i+hat j+hat k)alpha+3hat k and vec r=(hat i-2hat j+hat k)beta+3hat k

Determine the shortest distance between the pair of lines : vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat j)a n d\ vec r=(2 hat i- hat k)+mu(2 hat i+2 hat k)dot

Prove that the plane vec r=( hat i+2 hat j- hat k)=3 contains the line vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)dot

Show that the lines vec( r) =(hat(i) +hat(j) -hat(k)) +lambda (3hat(i) -hat(j)) " and " vec( r) =(4hat(i) -hat(k)) + mu (2hat(i) +3hat(k)) intersect . Find the point of the intersection.