1. Tardigrade
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  4. Statement I If a parallelopiped is formed by planes drawn through the points (2,3,5) and (5,9,7) parallel to the coordinate planes, then the length of edges of a parallelopiped are 3, 6 and 2. Statement II Length of diagonal of above parallelopiped is 7 units.

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Q. Statement I If a parallelopiped is formed by planes drawn through the points $(2,3,5)$ and $(5,9,7)$ parallel to the coordinate planes, then the length of edges of a parallelopiped are 3, 6 and 2.
Statement II Length of diagonal of above parallelopiped is 7 units.

Introduction to Three Dimensional Geometry

Solution:

Length of edges of the parallelopiped are
$5-2,9-3,7-5 $ i.e., $3, 6, 2$,
Length of diagonal is $\sqrt{3^2+6^2+2^2}=7$ units.