Find the angle between the line ` -> r=(2 hat i+3 hat j+9 hat k)+lambda(2 hat i+3 hat j+4 hat k)` and the plane ` -> r(dot( hat i+ hat j+ hat k))=5.`

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 lines -> r=(2 hat i-5 hat j+ hat k)+lambda(3 hat i+2 hat j+6 hat k)a n d\ -> r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)dot

Find the angle between the lines vec r*(hat i+2hat j-hat k)+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the angle between the line vec r=hat i+2hat j-hat k+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the angle between the planes vec r*(2hat i-hat j+hat k)=6 and vec r*(hat i+hat j+2hat k)=5

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

the angle between the planes vec r*(2hat i-hat j+hat k)=6 and vec r*(hat i+hat j+2hat k)=5

Find the angle between the line: vec(r) = (hat(i) - hat(j) + hat(k) ) + lambda (2 hat(i) - hat(j) + 3 hat(k)) and the plane vec(r). (2 hat(i) + hat(j) - hat(k) ) = 4. Also, find the whether the line is parallel to the plane or not.

Find the angle between the following pairs of lines: -> r=(3 hat i+2 hat j-4 hat k)+lambda( hat i+2 hat j+2 hat k)a n d\ -> r=(5 hat i-2 hat k)+mu(3 hat i+2 hat j+6 hat k)dot

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k