Question

If a parallelopiped is formed by the planes drawn through the points

(2, 3, 5) and (5, 9, 7) parallel to the coordinate planes, then write the

lengths of edges of the parallelopiped and length of the diagonal.

Answer 1

Lengths of edges of the parallelopiped are given by 5 -2, 9 - 3, 7 - 5 = 3, 6, 2

Length of the diagonal is given by

$\sqrt{3^2+6^2+2^2}=\sqrt{49}$

= 7 units