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Mathematics
Mathematics
Problem
Vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
have magnitudes
5
5
5
units and
7
7
7
units respectively, and the angle between them is
60
∘
60^{\circ}
6
0
∘
. Calculate the magnitude of
a
+
b
\mathbf{a}+\mathbf{b}
a
+
b
. a)
12
12
12
units b)
109
\sqrt{109}
109
units c)
10
10
10
units d)
39
\sqrt{39}
39
units
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