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JEE Advanced 2013 Paper 1 Mathematics Q20
Mathematics
Problem
Consider the set of eight vectors
V
=
{
a
i
^
+
b
j
^
+
c
k
^
:
a
,
b
,
c
∈
{
−
1
,
1
}
}
V=\{a\hat{i}+b\hat{j}+c\hat{k}:a,b,c\in\{-1,1\}\}
V
=
{
a
i
^
+
b
j
^
+
c
k
^
:
a
,
b
,
c
∈
{
−
1
,
1
}}
. Three non-coplanar vectors can be chosen from
V
V
V
in
2
p
2^p
2
p
ways. Then
p
p
p
is
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