Question -
Answer -
Given:
Points are (3, 0, -1) and (-2, 5, 4)
We need to find the lengths of the edges of the parallelepipedformed.
For point (3, 0, -1)
x1 = 3, y1 = 0 and z1 =-1
For point (-2, 5, 4)
x2 = -2, y2 = 5 and z2 =4
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 = 3 and x2 =-2 is 3 – (-2) = 3 + 2 = 5
Distance between planes x1 = 0 and y2 =5 is 5 – 0 = 5
Distance between planes z1 = -1 and z2 =4 is 4 – (-1) = 4 + 1 = 5
∴Theedgesof parallelepiped is 5, 5, 5