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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.
Solution
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
\[\sqrt{3^2 + 6^2 + 2^2}\]
\[ = \sqrt{49}\]
\[ = 7 \text{ units }\]
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