Let OA, OB, OC be coterminous edges of a cuboid. If l , m , n be the shortest distance between the sides OA, OB, OC and their respective skew body diagonals to them, respectively, then find ( 1 l 2 + 1 m 2 + 1 n 2 ) ( 1 O A 2 + 1 O B 2 + 1 O C 2 )

Question

Let OA, OB, OC be coterminous edges of a cuboid. If $l, m, n$ be the shortest distance between the sides OA, OB, OC and their respective skew body diagonals to them, respectively, then find $\frac{(\frac{1}{l^{2}} + \frac{1}{m^{2}} + \frac{1}{n^{2}})}{(\frac{1}{O A^{2}} + \frac{1}{O B^{2}} + \frac{1}{O C^{2}})}$

Smart Achievers · Accepted Answer

(2)

$Let l = m = n = \frac{1}{\sqrt{2}}$

Solution

Ans.
(2)

$Let l = m = n = \frac{1}{\sqrt{2}}$

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Solution

Q. Let OA, OB, OC be coterminous edges of a cuboid. If l, m, n be the shortest distance between the sides OA, OB, OC and their respective skew body diagonals to them, respectively, then find (1l2+1m2+1n2)(1OA2+1OB2+1OC2)

Ans. (2) Let l=m=n=12

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Ans.
(2)

$Let l = m = n = \frac{1}{\sqrt{2}}$