1) For the following two Cartesian vectors, answer the questions below. = 2 3 2 = 2+ 14 a. Determine the quantity b. Find . Note that the ax terminology refers only to the x component of a. c. Find . d. Determine the curl of 2) The ideal gas law states that temperature is related to pressure and density in the following way: = Here, p is pressure in Pa, T is temperature in K, and is density in kg/m3 . The term Rd is a gas constant for dry air (287 J/kg K). Assuming the field from (2) is an isothermal 300K pressure field, determine the density gradient at Darth Vader's position