A body constrained to move along the z-axis of a co-ordinate system is subjected to a constant force `vec(F)` given by `vec(F) =- hati +2hatj +3hatk` newton, where `hati, hatj` and `hatk` represen unit vectors along x,y- and z-axis of the system respectively. Calculate the work done by force in displacing the body through a distance of 4m along the z-axis.

A body constrainedto move along the z-axis of a co-ordinate system is subjected to a constant force vec(F) given by vec(F)=-hat(i)+2hat(j)+3hat(k) newton where hat(i),hat(j) and hat(k) represent unit vectors along x-,y-,and z-axes of the system, respectively.Calculate the work done by this force in displacing the body through a distance of 4m along the z-axis.

A body constrained to move along the Y-axis of a co-ordinate system is subjected to a constant force vecF given unit vecF=-hati+6hatj+2 hatk newton where hati, hatj and hatk represent unit vector along X-, Y- and Z-axis of the system , respectively . Calculate the work done by the force in displacement the body through a distance of 4 m along the Y-axis .

A body constrained to move along the Z-axis of a co-ordinate system is subject to a constant forece vec F=-hat i+2hatj+3hatk , where hati, hatj,hatk are unit vectors along the X-,Y- and Z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the Z-axis ?

A particle constrained to move along the Y axis of a coordinate system in subject to a constant force . vec(F) = (5 hati + 4hatj + 3hatk) newton. What is the work done by this force is moving the particle throught 5 m along the Y axis ?

A particle constrained to move along the Y axis of a co-ordinate system is subject to a constant force vecF=(5hati+4hatj-3hatk) newton. What is the work done by this force, in movong the particle trough 5 m along the Y-axis?

If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively, then tick the wrong statement:

If hati, hatj and hatk represent unit vectors along the x, y and z-axes respectively, then the angle theta between the vectors (hati+ hatj+hatk) and (hati+hatj) is equal to :

A body is constrained to move along z-axis of the co-ordinate system is being applied by a constant force vec(F)=(2hat(j)+3hat(j)+4hat(k)) . Find the work done by this force in moving the body over a distance of 5m along z-axis.

If hati,hatj and hatk represent unit vectors along the x,y and z-axes respectively, then the angle theta between the vectors (hati+hatj+hatk) and (hati+hatj) is equal to :