A molecule of L-Ala is placed with its chiral center at the origin of a right-handed axis sys- tem. The carbonyl carbon has atomic coordinates [0,0.15 cos (35.2°), -0.15 sine (35.2°)], and the Carbon (methyl group) at [0, -0.15 cos (35.2°), -0.15 sin (35.2°)]. a. Show how the y and z coordinates were determined for the carbonyl and C/3 car- bons (the length for this carbon-carbon single bond is 0.15 nm).b. In this same axis system, determine the (x, y, z) coordinates of the amino nitrogen and the hydrogen. (A C-H bond is 0.11 nm and a C-N bond is 0.13 nm.) c. Write the operator that generates the coordinates for D-Ala. d. What are the coordinates for these same atoms in D-Ala?