Find the work done by the force `vecF=hati+2hatj+hatk` acting on a particle, if the particle is displaced from the point with position vector `2hati+hatj+hatk` to the point with position vector `3hati+2hatj+4hatk`.

Find the work done by the force vecF=2hati+hatj+hatk acting on a particle, if the particle is displaced from the point with position vector 2hati+2hatj+2hatk to the point with position vector 3hati+4hatj+5hatk .

Find the distance of the point whose position vector is 2hati+hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=9 .

Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2hati-hatj+4hatk and is in the direction hati + 2hatj - hatk

The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb=hati+2hatj+hatk is :

Write the projection of the vector 7hati+hatj+4hatk on the vector 2hati+6hatj+3hatk .

Find the projection of the vector hati+3hatj+7hatk on the vector 2hati-3hatj+6hatk .

The projection of the vector 2hati+3hatj+2hatk on the vector hati+2hatj+hatk

Find the vector equation of a line passing through the point with position vector hati-2hatj-3hatk and parallel to the line joining the points with position vectors hati-hatj+4hatk and 2hati+hatj+2hatk . Also find the cartesian form of the equation.

Show that the three points with position vectors 2hati+6hatj+3hatk , hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.