alleryThe projection of vector $vec{a}$ on vector $vec{b}$ is
A$\dfrac{\vec{a}\cdot\vec{b}}{|\vec{a}|}$
B$\dfrac{\vec{a}\times\vec{b}}{|\vec{b}|}$
C$\dfrac{\vec{a}\cdot\vec{b}}{|\vec{b}|}$
D$\dfrac{|\vec{a}|}{\vec{a}\cdot\vec{b}}$
Answer & Solution
Correct answer: C. $\dfrac{\vec{a}\cdot\vec{b}}{|\vec{b}|}$
The scalar projection of $\vec{a}$ on $\vec{b}$ is the component of $\vec{a}$ along $\vec{b}$, which is $\dfrac{\vec{a}\cdot\vec{b}}{|\vec{b}|}$.
**Option C matches this formula.**
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