(10pts) Given \overrightarrow{AB} = \langle x, 8, 5 \rangle, \overrightarrow{BC} = \langle 1, y, -10 \rangle and \overrightarrow{AC} = \langle 0, 5, z \rangle. Find the values of the constants x, y, and z. Please write the formula that you use to solve the question to justify your work.