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

The foot of the perpendicular drawn from a point with position vector hati+4hatk on the joining the points having position vectors as -11hatj+3hatk an 2hati-3hatj+hatk has the position vector

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 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 .

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.

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.

Find the image of the point having position vector hati + 3hatj + 4hatk in the planer. vecr.(2hati – hatj+ hatk) + 3 = 0

Find the vector equation of the plane passing through the point having position vector 2hati + 3hatj + 4hatk and perpendicular to the vector 2hati + hatj -2hatk .

Find the vector equation of the plane passing through a point having position vector 3hati - 2hatj + 3hatk and perpendicular to the vector 4hati + 3hatj + 2hatk .

The cartesian equation of a line passing through the point having position vector 2hati +hatj - hatk and parallel to the line passing joining the points -hati + hatj + 4hatk and hati + 2hatj + 2hatk , is

The vector equation of a plane passing through a point having position vector 2hati+3hatj-4hatk and perpendicular to the vector 2hati-hatj+2hatk , is