Two constant force `vec F_(1)=2hat i-5hat j+6hat k`and `vec F_(2)=-hat i+2hat j-hat k` act on a particle. If particle is displaced from a point A with position vector `4hat i-3hat j-hat k` to the point B with Position vector `6hat i+hat j-3hat k `.Then work done in the process is equal to

Constant forces P_1= hat i+ hat j+ hat k ,P_2= - hat i+2 hat j- hat ka n dP_3= - hat j- hat k act on a particle at a point Adot Determine the work done when particle is displaced from position A(4 hat i-3 hat j-2 hat k) to B(6 hat i+ hat j-3 hat k)dot

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

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

A uniform force of (3 hat(i)+hat(j)) newton acts on a particle of mass 2 kg . Hence the particle is displaced from position (2 hat(i)+hat(k)) meter to position (4 hat(i)+ 3hat(j)-hat(k)) meter. The work done by the force on the particle is :

The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position vector is hat i- hat j + hat k . What is the torque of a given force about the origin ?

Forces 2hat(i)+hat(j), 2hat(i)-3hat(j)+6hat(k) and hat(i)+2hat(j)-hat(k) act at a point P, with position vector 4hat(i)-3hat(j)-hat(k) . Find the moment of the resultant of these force about the point Q whose position vector is 6hat(i)+hat(j)-3hat(k) .

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

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

The position vector of the points P and Q are 5 hat i+7 hat j-2 hat k and -3 hat i+3 hat j+6 hat k , respectively. Vector vec A=3 hat i- hat j+ hat k passes through point P and vector vec B=-3 hat i+2 hat j+4 hat k passes through point Q . A third vector 2 hat i+7 hat j-5 hat k intersects vectors A and Bdot Find the position vectors of points of intersection.

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot