A) \[\sqrt{38}\] units
B) \[7\]nits
C) \[\sqrt{155}\] units
D) \[13\]units
Correct Answer: B
Solution :
Length of the diagonal of he parallelepiped = distance between points \[(2,3,5)\] and \[(5,9,7)\] \[=\sqrt{{{(5-2)}^{2}}+{{(9-3)}^{2}}+{{(7-5)}^{2}}}\] \[=\sqrt{{{(3)}^{2}}+{{(6)}^{2}}+{{(2)}^{2}}}\] \[=\sqrt{9+36+4}=\sqrt{49}\] \[=7\,\,units\]
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