Given the vectors M = −10 ax + 4 ay − 8 az and N = 8 ax + 7ay − 2 az, find:

a) a unit vector in the direction of −M +2N,
b) the magnitude of 5 ax + N − 3M, c) |M||2N|(M+ N). solution

To design a steam turbine to produce 12,000 hp power. a engineer comsiders using a steady state stean low st 1160fr and engineer considers using a steady state steam flow at 1160°r and 450 psia to drive this steam turbine. the exhaust of the steam is cooled by the lake (vacuum). heat losing to the surroundings is measured at a rate of 555.55 btu/s. (a) sketch the system with the given conditions. (b) neglecting kinetic and potential energy changes from inlet to exit, determine the volumetric flow rate of the steam at the inlet, (ft'/hr). must clearly show unit conversions at crtical terms.