Question

a cube of edge length a=8.20 m sits with one corner at the origin of an xyz coordinate system. A body diagonal is a line that extends from one corner to another through the center . In unit-vector notation , what is the body 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 body diagonals.