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Mathematics
Problem
Let
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
be three unit vectors such that
3
a
+
4
b
+
5
c
=
0
3\mathbf{a} + 4\mathbf{b} + 5\mathbf{c} = \mathbf{0}
3
a
+
4
b
+
5
c
=
0
. Then which of the following statements is true? a.
a
\mathbf{a}
a
is parallel to
b
\mathbf{b}
b
b.
a
\mathbf{a}
a
is perpendicular to
b
\mathbf{b}
b
c.
a
\mathbf{a}
a
is neither parallel nor perpendicular to
b
\mathbf{b}
b
d. None of the above
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