SECTION - 3 : (Integer value correct Type)
This section contains 5 questions. The answer to each question is single digit integer, ranging from 0 to 9 (both inclusive).
Consider the set of eight vectors 
. Three non-coplanar vectors can be chosen from V in 2 p ways. Then p is ________
Text Solution
Verified by Experts5
(5)
Let (1, 1, 1), ( – 1, 1, 1), (1, – 1, 1), ( – 1, – 1, 1) be vectors 
rest of the vectors are 
and let us find the number of ways of selecting co – planar vectors.
Observe that out of any 3 coplanar vectors two will be collinear (anti parallel)
Number of ways of selecting the anti parallel pair = 4
Number of ways of selecting the third vector = 6
Total = 24
Number of non co – planar selections = 8 C 3 - 24 = 32 = 2 5 , p = 5
Alternate Solution:
Required value = 
p = 5
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