Find the distance of the point `hat i+2hat j+3hat k` from the plane `vec r*(hat i+hat j+hat k)=5` measured parallel to the vector `2hat i+3hat j-6 hatk`

Find the distance of the point hat i+2hat j+3hat k from the plane vec r*(hat i+hat j+hat k)=5 measured parallel to the vector 2hat i+3hat j-6hat k

The distance of the point hat i+2hat j+3hat k from the plane vec r .(hat i+hat j+hat k)=5 measured parallel to the vector 2hat i+3hat j-6hat k is

Find the image of the point with position vector (3hat i+hat j+2hat k) in the plane vec r*(2hat i-hat j+hat k)=4

Find the image of the point having position vector hat i+2hat j+4hat k in the plane vec r*(2hat i-hat j+hat k)+3=0

The distance of point B with position vector hat i+2hat j+3hat k from the line passing through the point with position vector 4hat i+2hat j+2hat k and parallel to the vector 2hat i+3hat j+6hat k is :

The distance of point B with position vector hat i+2hat j+3hat k from the line passing through the point with position vector 4hat i+2hat j+2hat k and parallel to the vector 2hat i+3hat j+6hat k is :

If vec a=hat i+2hat j-3hat k and vec b=2hat i+4hat j+9hat k find a unit vector parallel to vec a+vec b

If vec a=3hat i-2hat j+hat k and vec b=-hat i+hat j+hat k then the unit vector parallel to vec a+vec b, is

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)

The line through hat i+3 hat j+2 hat k and _|_ to the line vec r=( hat i+2 hat j- hat k)+lambda(2 hat i+ hat j+ hat k)a n d vec r=(2 hat i+6 hat j+ hat k)+mu( hat i+2 hat j+3 hat k) is a. vec r=( hat i+2 hat j- hat k)+lambda(- hat i+5 hat j-3 hat k) b. vec r= hat i+3 hat j+2 hat k+lambda( hat i-5 hat j+3 hat k) c. vec r= hat i+3 hat j+2 hat k+lambda( hat i+5 hat j+3 hat k) d. vec r= hat i+3 hat j+2 hat k+lambda(- hat i-5 hat j-3 hat k)