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Mathematics
Problem
Which one of the following correctly gives the scalar component of a vector
A
⃗
\vec A
A
along another vector
B
⃗
\vec B
B
? a)
A
⃗
⋅
B
⃗
∣
A
⃗
∣
\dfrac{\vec A\cdot\vec B}{|\vec A|}
∣
A
∣
A
⋅
B
b)
∣
A
⃗
∣
sin
ϕ
|\vec A|\sin\phi
∣
A
∣
sin
ϕ
c)
A
⃗
⋅
B
⃗
∣
B
⃗
∣
\dfrac{\vec A\cdot\vec B}{|\vec B|}
∣
B
∣
A
⋅
B
d)
A
⃗
⋅
B
⃗
∣
B
⃗
∣
2
\dfrac{\vec A\cdot\vec B}{|\vec B|^{2}}
∣
B
∣
2
A
⋅
B
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