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Consider a set ‘A’ of vectors `xhati + yhatj + zhatk` where x,y,z `in ` {1,2,3}. Three vector are selected at random from set A. If the probability that they are mutually perpendicular is p, then-
A. |
`p<1/27` |
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B. |
`p in (1/27,1/9)` |
C. |
`p in (1/9,1/3)` |
D. |
`p in (1/3,1)` |