We consider the vector a=3x + y +2z (a) find the length of a (b) what is the length of the projection of a on (c) construct a vector in the xy plane and perpe projection of a on the xy plane? xy plane and perpendicular to a. (called b)

An insulated thermos contains 148 g of water at 72.7 ˚c. you put in a 11.7 g ice cube at 0.00 ˚c to form a system of ice + original water. the specific heat of liquid water is 4190 j/kg•k; and the heat of fusion of water is 333 kj/kg. what is the net entropy change of the system from then until the system reaches the final (equilibrium) temperature?