Q.

If the lengths of the sides of a rectangular parallelopiped are 3,2,1 then the angle between two diagonals out of four diagonals is

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a

cos−167

b

cos−123

c

cos−11314

d

cos−1914

answer is A.

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Detailed Solution

(a, b, c) = (3, 2, 1)cosθ=a2+b2−c2a2+b2+c2=67θ=cos−167
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If the lengths of the sides of a rectangular parallelopiped are 3,2,1 then the angle between two diagonals out of four diagonals is