A nozzle with a $1 \mathrm{in}$. ID outlet is attached to a $3 \mathrm{in}$. ID fire hose. Water pressure inside the hose is $100 \mathrm{psig}$ and the flow rate is $100 \mathrm{gpm}$. Calculate the force (magnitude and direction) required to hold the nozzle at an angle of $45^{\circ}$ relative to the axis of the hose. (Neglect friction in the nozzle).