A force `vecF=2hati+hatj-hatk` acts at a point A whose position vectro is `2hati-hatj.` If the point aplication of `vecF` moves from point A to point B, with position vector `2hati+hatj`, find the workdown by `vecF`

Two forces -hati+2hatj-hatk and 2hati-5hatj+6hatk act on a particfle whose position vector is 4hati-3hatj+2hatk and displace it to another point whose positon vector is 6hati+hatj-3hatk . Find the total work done by the force.

Forces 2hati+hatj, 2hati-3hatj+6hatk and -hati+2hatj-hatk act at a point P, with position vector 4hati-3hatj-hatk . Find the vector moment of the resultant of these forces about thepoint Q whose position vector is 6hati+hatj=3hatk

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

A force (hati-2hatj+3hatk) acts on a particle of position vector (3hati+2hatj+hatk) . Calculate the torque acting on the particle.

Find the torque of a force F=a(hati+2hatj+3hatk) N about a point O. The position vector of point of application of force about O is r=(2hati+3hatj-hatk) m .

A force vecF=4hati-5hatj+3hatk N is acting on a point vecr_1=2hati+4hatj+3hatk m. The torque acting about a point vecr_2=4hati-3hatk m is

Find the vector component of vecF=hati+2hatj+2hatk along the direction of vecp=-3hati-4hatj+12hatk in the plane of vecF and vecP ,

Find the vector equation of a lin e passes through the point whose position vector is (2hati-hatj-hatk) and parallel to vector hati+5hatk .

Find the vector equation of a line passing thorugh a point with position vector 2hati-2hatj+hatk and parallel to the line joining the point with the position vectors -hati+3hatj+hatk and 2hati+hatj+3hatk . Also find the Cartesian equation of this line.

The displacement of a particle from a point having position vector 2hati + 4hatj to another point having position vector 5hatj + 1hatj is