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Mathematics
Problem
Let
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
be three non-zero vectors which are pairwise non-collinear. If
a
+
3
b
\mathbf{a} + 3\mathbf{b}
a
+
3
b
is collinear with
c
\mathbf{c}
c
and
b
+
2
c
\mathbf{b} + 2\mathbf{c}
b
+
2
c
is collinear with
a
\mathbf{a}
a
, then
a
+
3
b
+
6
c
\mathbf{a} + 3\mathbf{b} + 6\mathbf{c}
a
+
3
b
+
6
c
is a.
a
+
c
\mathbf{a} + \mathbf{c}
a
+
c
b.
a
\mathbf{a}
a
c.
c
\mathbf{c}
c
d.
0
0
0
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