The projection of vector vec A on vector vec | vedclass

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Question

(B) The projection of a vector $\vec A$ onto a vector $\vec B$ is defined as the scalar component of $\vec A$ in the direction of $\vec B$.Mathematica

Vedclass · Accepted Answer

$\vec A \cdot \hat B$

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(B) The projection of a vector $\vec A$ onto 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 $\vec A$ with the unit vector of $\vec B$.Projection $= |\vec A| \cos 	heta$.Since $\vec A \cdot \vec B = |\vec A| |\vec B| \cos 	heta$,we have $|\vec A| \cos 	heta = \frac{\vec A \cdot \vec B}{|\vec B|}$.Since the unit vector $\hat B = \frac{\vec B}{|\vec B|}$,the projection is $\vec A \cdot \hat B$.

The projection of vector $\vec A$ on vector $\vec B$ is:

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