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 = 5, y1 = 0 and z1 =2
For point (3, -2, 5)
x2 = 3, y2 = -2 and z2 =5
Plane parallel to coordinate planes of x1 and x2 isyz-plane
Plane parallel to coordinate planes of y1 and y2 isxz-plane
Plane parallel to coordinate planes of z1 and z2 isxy-plane
Distance between planes x1 = 5 and x2 =3 is 5 – 3 = 2
Distance between planes x1 = 0 and y2 =-2 is 0 – (-2) = 0 + 2 = 2
Distance between planes z1 = 2 and z2 =5 is 5 – 2 = 3
∴The edgesof parallelepiped is 2, 2, 3