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Mathematics
Problem
Let
∣
A
⃗
1
∣
=
3
|\vec{A}_1| = 3
∣
A
1
∣
=
3
,
∣
A
⃗
2
∣
=
5
|\vec{A}_2| = 5
∣
A
2
∣
=
5
and
∣
A
⃗
1
+
A
⃗
2
∣
=
5
|\vec{A}_1 + \vec{A}_2| = 5
∣
A
1
+
A
2
∣
=
5
. The value of
(
2
A
⃗
1
+
3
A
⃗
2
)
⋅
(
3
A
⃗
1
−
2
A
⃗
2
)
(2\vec{A}_1 + 3\vec{A}_2) \cdot (3\vec{A}_1 - 2\vec{A}_2)
(
2
A
1
+
3
A
2
)
⋅
(
3
A
1
−
2
A
2
)
is: a.
−
106.5
-106.5
−
106.5
b.
−
99.5
-99.5
−
99.5
c.
−
112.5
-112.5
−
112.5
d.
−
118.5
-118.5
−
118.5
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