dont use chatgpt/ai!

Nylon 6.6 forms triclinic crystals (==v), in which a=490pm;b=540pm;c=1,720pm; =48.50;=770;=63.5. Unit cell contains a single repeat unit: Polypropylene forms monoclinic crystals (=y=90=), in which a=666pm;b=2,078pm; c=650pm;=99.60. Unit cell contains 12 repeat units: Volume of a unit cell, V : V=detaaabbbacbccc1/2. (ab is a scalar product of vectors a,b) Find: - (5p) The general expression of a triclinic unit cell volume (show your derivations); simplify the derived expression for a triclinic unit cell volume to the expression for a monoclinic unit cell volume. - (5p) Calculate the theoretical densities of Nylon 6.6 and polypropylene crystals