[" Q."3(2)" Find the angle between the pair of lines given by - "],[qquad vec r=3hat i+2hat j-4hat k+lambda(hat i+2hat j+2hat k)" and "vec r=5hat i-2hat j+mu(3vec i+2hat j+6hat k)]

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

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 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)

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+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 angle between the pair of lines vec(r)=3hat(i)+5hat(j)-hat(k)+lambda(hat(i)+hat(j)+hat(k))" and "vec(r)=7hat(i)+4hat(k)+mu(2hat(i)+2hat(j)+2hat(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 angle between the line vec r=(2hat i-hat j+3hat k)+lambda(3hat i-hat j+2hat k) and the plane vec r*(hat i+hat j+hat k)=3

Find the angle between the following pairs of lines:(i) -> r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k) and -> r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k) (ii) -> r=3 hat i+ hat j-2 hat k+lambda( hat i- hat j-2 hat k) and -

Find the angle between the following pairs of lines : vec(r)=3hat(i)+2hat(j)-4hat(k)+lambda(hat(i)+2hat(j)+2hat(k)) " & " vec(r)=5hat(i)-2hat(j)+mu(3hat(i)+2hat(j)+6hat(k)) Note : Angle between two lines is the angle between vec(b_(1)) " and " vec(b_(2))