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Mathematics
Problem
If
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
are non-coplanar vectors, prove that
3
a
−
7
b
−
4
c
3\mathbf{a} - 7\mathbf{b} - 4\mathbf{c}
3
a
−
7
b
−
4
c
,
3
a
−
2
b
+
c
3\mathbf{a} - 2\mathbf{b} + \mathbf{c}
3
a
−
2
b
+
c
and
a
+
b
+
2
c
\mathbf{a} + \mathbf{b} + 2\mathbf{c}
a
+
b
+
2
c
are coplanar.
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