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Mathematics
Problem
If
a
×
b
=
c
,
b
×
c
=
a
,
c
×
a
=
b
a \times b = c, b \times c = a, c \times a = b
a
×
b
=
c
,
b
×
c
=
a
,
c
×
a
=
b
. If vectors
a
,
b
a, b
a
,
b
and
c
c
c
are forming a right handed system, then the volume of tetrahedron formed by vectors
3
a
−
2
b
+
2
c
,
−
a
−
2
c
3a - 2b + 2c, -a - 2c
3
a
−
2
b
+
2
c
,
−
a
−
2
c
and
2
a
−
3
b
+
4
c
2a - 3b + 4c
2
a
−
3
b
+
4
c
is
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