For the plane wave a(f) ae(k. f) ao (aol, ao2, ao3) is a constant vector where k-(kı, k2, k3) is a constant vector f= (x, y, z) calculate explicitly v. a (show very explicitly all your steps.) compare your result with the scalar product k a

Steam enters an adiabatic diffuser at 150 kpa and 1208c with a velocity of 550 m/s. determine the minimum velocity that the steam can have at the outlet when the outlet pressure is 300 kpa.

Unpolarized light of intensity i_0=750w/m^2 is incident upon two polarizers. after passing through both polarizers the intensity is i_2=280w/m^2. (a) what is the intensity of the light after it passes through the first polarizer in w/m^2? (b) write an equation for the angle between the polarizers in terms of the initial (i_0) and final (i_2) intensities. (c) find the angle between the polarizers in degrees.

Observations show that interstellar clouds can have almost any shape and