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Mathematics
Mathematics
Problem
Given
a
⋅
b
=
1
\mathbf{a}\cdot\mathbf{b}=1
a
⋅
b
=
1
,
b
⋅
b
=
5
\mathbf{b}\cdot\mathbf{b}=5
b
⋅
b
=
5
,
b
⋅
c
=
−
2
\mathbf{b}\cdot\mathbf{c}=-2
b
⋅
c
=
−
2
and
a
⋅
c
=
3
\mathbf{a}\cdot\mathbf{c}=3
a
⋅
c
=
3
, find
(
a
+
2
b
)
⋅
(
b
−
c
)
(\mathbf{a}+2\mathbf{b})\cdot(\mathbf{b}-\mathbf{c})
(
a
+
2
b
)
⋅
(
b
−
c
)
.
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