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Mathematics
Problem
Which one of the following correctly expresses the scalar (dot) product of two vectors
a
⃗
\vec{a}
a
and
b
⃗
\vec{b}
b
in terms of the angle
θ
\theta
θ
between them? a)
∣
a
⃗
∣
∣
b
⃗
∣
sin
θ
|\vec a|\,|\vec b|\sin\theta
∣
a
∣
∣
b
∣
sin
θ
b)
∣
a
⃗
∣
∣
b
⃗
∣
cos
θ
|\vec a|\,|\vec b|\cos\theta
∣
a
∣
∣
b
∣
cos
θ
c)
∣
a
⃗
∣
∣
b
⃗
∣
cos
θ
\dfrac{|\vec a|}{|\vec b|}\cos\theta
∣
b
∣
∣
a
∣
cos
θ
d)
∣
a
⃗
∣
∣
b
⃗
∣
cos
2
θ
|\vec a|\,|\vec b|\cos^{2}\theta
∣
a
∣
∣
b
∣
cos
2
θ
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