The angle between any two diagonals of a cube is Cos−11t. Then value of tt is
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a
3
b
9
c
27
d
8
answer is C.
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Detailed Solution
Two diagonals OP and CSOP→ direction ratios are 1,1,1CS⇀ direction ratios are 1,1,-1if θ is the angle between two diagonals OP and CS thencosθ=1.1+1.1+1112+12+12.12+12+−12 =1+1+133 =13⇒ θ=cos−113it gives t=3⇒tt=33=27