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Mathematics
Mathematics
Problem
Let
a
=
(
1
,
2
,
−
1
)
\mathbf{a}=(1,2,-1)
a
=
(
1
,
2
,
−
1
)
,
b
=
(
0
,
−
3
,
4
)
\mathbf{b}=(0,-3,4)
b
=
(
0
,
−
3
,
4
)
and
c
=
(
2
,
1
,
5
)
\mathbf{c}=(2,1,5)
c
=
(
2
,
1
,
5
)
. Evaluate the scalar product
(
2
a
−
3
b
)
⋅
(
b
+
c
)
(2\mathbf{a}-3\mathbf{b})\,\cdot\,(\mathbf{b}+\mathbf{c})
(
2
a
−
3
b
)
⋅
(
b
+
c
)
.
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