In the gure. a cube of edge length a = 4.70 m sits with one corner at the origin of an xyz coordinate system. A bod).r diagonal is a line that extends from one cornerto another through the center. In unitvector notation, what is the bod).r diagonal that extends From the corner at (a) coordinates (0, 0, 0), (b) coordinates (a, 0. 0}, [c] coordinates (0, a, 0), and (d) coordinates (a, a, 0}? [e] Determine the angles that the body diagonals make with the adjacent edges. (f) Determine the length of the bodydiagonals. -2 a {a} Number n I n J n 2 Units V + + E j A - v {b} Number k Units + + {c} Number n I n 'l n 2 Units V + + {d} Number n I n J n 2 Units V + + {e} Number n Units V [f] Number Units V