The projection of vector vec{a} along vector | vedclass

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(C) The projection of a vector $\vec{a}$ along a vector $\vec{b}$ is defined as the scalar component of $\vec{a}$ in the direction of $\vec{b}$.Mathem

Vedclass · Accepted Answer

$\frac{\vec{a} \cdot \vec{b}}{|\vec{b}|}$

Vedclass · Answer

(C) The projection of a vector $\vec{a}$ along a vector $\vec{b}$ is defined as the scalar component of $\vec{a}$ in the direction of $\vec{b}$.Mathematically,this is given by the dot product of $\vec{a}$ and the unit vector in the direction of $\vec{b}$.Let $\hat{b}$ be the unit vector along $\vec{b}$,where $\hat{b} = \frac{\vec{b}}{|\vec{b}|}$.The projection is $\vec{a} \cdot \hat{b} = \vec{a} \cdot \frac{\vec{b}}{|\vec{b}|} = \frac{\vec{a} \cdot \vec{b}}{|\vec{b}|}$.Therefore,the correct option is $C$.

The projection of vector $\vec{a}$ along vector $\vec{b}$ is:

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