(a) If point A (3, 4, 5) is the opposite vertex to the origin, then find the coordinates of the other six vertices of the box. (Order your answers from smallest to largest x, then from smallest to largest y, then from smallest to largest z.) (x, y, z)=
(x, y, z)=
(x, y, z)=
(x, y, z)=
(x, y, z)=
(x, y, z)=
(b) If point A (3, 4, 5) is the opposite vertex to the origin, then find the length of the diagonal of the box determined by the vertices O and A.