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Mathematics
Problem
Three vectors
a
⃗
\vec{a}
a
,
b
⃗
\vec{b}
b
and
c
⃗
\vec{c}
c
satisfy the condition
a
⃗
+
b
⃗
+
c
⃗
=
0
⃗
\vec{a} + \vec{b} + \vec{c} = \vec{0}
a
+
b
+
c
=
0
. Evaluate
μ
=
a
⃗
⋅
b
⃗
+
b
⃗
⋅
c
⃗
+
c
⃗
⋅
a
⃗
,
if
∣
a
⃗
∣
=
3
,
∣
b
⃗
∣
=
4
and
∣
c
⃗
∣
=
2.
\mu = \vec{a} \cdot \vec{b} + \vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a}, \text{ if } |\vec{a}| = 3, |\vec{b}| = 4 \text{ and } |\vec{c}| = 2.
μ
=
a
⋅
b
+
b
⋅
c
+
c
⋅
a
,
if
∣
a
∣
=
3
,
∣
b
∣
=
4
and
∣
c
∣
=
2.
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