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Mathematics
Problem
Which of the following correctly states the commutative property of the dot product for any vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
in
R
3
\mathbb{R}^3
R
3
? a)
a
⋅
b
=
∣
a
∣
∣
b
∣
\mathbf{a}\cdot\mathbf{b}=|\mathbf{a}|\,|\mathbf{b}|
a
⋅
b
=
∣
a
∣
∣
b
∣
b)
a
⋅
b
=
−
b
⋅
a
\mathbf{a}\cdot\mathbf{b}=-\mathbf{b}\cdot\mathbf{a}
a
⋅
b
=
−
b
⋅
a
c)
a
⋅
b
=
b
⋅
a
\mathbf{a}\cdot\mathbf{b}=\mathbf{b}\cdot\mathbf{a}
a
⋅
b
=
b
⋅
a
d)
a
⋅
b
=
a
⋅
a
\mathbf{a}\cdot\mathbf{b}=\mathbf{a}\cdot\mathbf{a}
a
⋅
b
=
a
⋅
a
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