Here are two vectors: and . What are (a) the magnitude and (b) the angle (counterclockwise from the axis defined by ) of ? What are (c) the magnitude and (d) the angle of ? What are (e) the magnitude and (f) the angle of ; (g) the magnitude and (h) the angle of ; and (i) the magnitude and (j) the angle of ? (State your angle as a positive number.) (k) What is the angle between the directions of and ?

Asheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200oc and is permitted to achieve a steady-state diffusion condition. the diffusion coefficient for nitrogen in steel at this temperature is 6 x 10- 11 m2 /s, and the diffusion flux is found to be 1.2 x 10-7 kg/m2 -s. also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3 . how far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3 ? assume a linear concentration profile.