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Mathematics
Mathematics
Problem
Vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
satisfy
∣
a
∣
=
3
|\mathbf{a}|=3
∣
a
∣
=
3
,
∣
b
∣
=
4
|\mathbf{b}|=4
∣
b
∣
=
4
and the angle between them is
60
∘
60^{\circ}
6
0
∘
. Evaluate
∣
2
a
−
3
b
∣
2
|2\mathbf{a}-3\mathbf{b}|^{2}
∣2
a
−
3
b
∣
2
. a)
144
144
144
b)
108
108
108
c)
168
168
168
d)
180
180
180
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