Question -
Answer -
Given:
Points are (5, 0, 2) and (3, -2, 5)
We need to find the lengths of the edges of the parallelepipedformed
For point (5, 0, 2)
x1┬а= 5, y1┬а= 0 and z1┬а=2
For point (3, -2, 5)
x2┬а= 3, y2┬а= -2 and z2┬а=5
Plane parallel to coordinate planes of x1┬аand x2┬аisyz-plane
Plane parallel to coordinate planes of y1┬аand y2┬аisxz-plane
Plane parallel to coordinate planes of z1┬аand z2┬аisxy-plane
Distance between planes x1┬а= 5 and x2┬а=3 is 5 тАУ 3 = 2
Distance between planes x1┬а= 0 and y2┬а=-2 is 0 тАУ (-2) = 0 + 2 = 2
Distance between planes z1┬а= 2 and z2┬а=5 is 5 тАУ 2 = 3
тИ┤The edgesof parallelepiped is 2, 2, 3