The component of a vector vec{r} along the x- | vedclass

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Question

(A) The component of a vector $\vec{r}$ along the $x$-axis is given by $r_x = r \cos 	heta$,where $	heta$ is the angle between the vector $\vec{r}$

Vedclass · Accepted Answer

$\vec{r}$ is along the $+x$-axis

Vedclass · Answer

(A) The component of a vector $\vec{r}$ along the $x$-axis is given by $r_x = r \cos 	heta$,where $	heta$ is the angle between the vector $\vec{r}$ and the $x$-axis.For the component $r_x$ to have a maximum value,the term $\cos 	heta$ must be maximum.The maximum value of $\cos 	heta$ is $1$,which occurs when $	heta = 0^{\circ}$.Therefore,the component of the vector $\vec{r}$ along the $x$-axis is maximum when the vector $\vec{r}$ is directed along the positive $x$-axis.

The component of a vector $\vec{r}$ along the $x$-axis will have a maximum value if

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