The operation which does not give you a vector as an output from two vector inputs is ______
a) Dot product
b) Cross product
c) Vector addition
d) Vector subtraction

Explanation

Consier ure. Suppose the centre of massof the tray is a distace `x_1` above the origin and that of the ice is a distance `x_2` above the origin. The height of the centre of mass of the ice tray system is
`x=(mx_2+mx_1)/(m+M)`

When the ice melts, the water of mass m spreads on the surface of the tray. As the tray is large, the height of water is then on the surfave of the tray and is at a distance `x_2-L/2` above the origin. THe new centre of masss of theh ice -tray system will be at the height
`x'=(m(x_2-L/2)+Mx_1)/(m+M)`
THe shift in the centre of mass `=x-x'=(mL)/(2(m+M)`