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Mathematics
Mathematics
Problem
Show that points with position vectors
a
−
2
b
+
3
c
\mathbf{a} - 2\mathbf{b} + 3\mathbf{c}
a
−
2
b
+
3
c
,
−
2
a
+
3
b
−
c
-2\mathbf{a} + 3\mathbf{b} - \mathbf{c}
−
2
a
+
3
b
−
c
and
4
a
−
7
b
+
7
c
4\mathbf{a} - 7\mathbf{b} + 7\mathbf{c}
4
a
−
7
b
+
7
c
are collinear. It is given that vectors
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
are non-coplanar.
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