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LoginConsider the set of eight vector `V={a hat i+b hat j+c hat k ; a ,bc in {-1,1}}dot`Threenon-coplanar vectors can be chosen from `V`is `2^p`ways. Then `p`is_______.
General Awareness PERMUTATIONS-AND-COMBINATIONS IN GENERAL AWARENESS . 2 years ago
+10 pts
Given 8 vectors are (1,1,1),(-1,1,1),(1,-1,1),(1,1,-1),(-1,-1,1),(1,-1,-1),(-1,1,-1),(-1,-1,-1) there are 4 diagonals of a cube. Now, for 3 non-coplanar vectors first we select 3 groups of diagonals and its opposite in `.^(4)C_(3)=4` ways. Then one vector from each group cann be selected in `2xx2xx2=8` ways.
`therefore`Total ways`=4xx8=32=2^(5)=2^(p)` (given)
Hence, `p=5`
Posted on 06 Oct 2022, this text provides information on General Awareness related to PERMUTATIONS-AND-COMBINATIONS IN GENERAL AWARENESS. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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