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If
(
a
×
b
)
×
c
=
a
×
(
b
×
c
)
(\mathbf{a} \times \mathbf{b}) \times \mathbf{c} = \mathbf{a} \times (\mathbf{b} \times \mathbf{c})
(
a
×
b
)
×
c
=
a
×
(
b
×
c
)
…
Mathematics
Problem
If
(
a
×
b
)
×
c
=
a
×
(
b
×
c
)
(\mathbf{a} \times \mathbf{b}) \times \mathbf{c} = \mathbf{a} \times (\mathbf{b} \times \mathbf{c})
(
a
×
b
)
×
c
=
a
×
(
b
×
c
)
, where
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
are any three vectors such that
a
⋅
b
≠
0
\mathbf{a} \cdot \mathbf{b} \neq 0
a
⋅
b
=
0
,
b
⋅
c
≠
0
\mathbf{b} \cdot \mathbf{c} \neq 0
b
⋅
c
=
0
, then
a
\mathbf{a}
a
and
c
\mathbf{c}
c
are a. inclined at an angle of
π
6
\frac{\pi}{6}
6
π
between them b. perpendicular c. parallel d. inclined at an angle of
π
3
\frac{\pi}{3}
3
π
between them
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