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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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

Similar Questions

Find the magnitude and direction of the vectors $\hat{i}+\hat{j}$ and $\hat{i}-\hat{j}$. What are the components of a vector $\vec{A}=2\hat{i}+3\hat{j}$ along the directions of $\hat{i}+\hat{j}$ and $\hat{i}-\hat{j}$?

The velocity of a particle having a magnitude of $10 \ m/s$ in the direction of $60^{\circ}$ with the positive $X$-axis is:

If the magnitude of a vector $\overrightarrow{p}$ is $25 \text{ units}$ and its $y$-component is $7 \text{ units}$, then its $x$-component is (in $\text{ units}$)

When is the resolution of a vector required?

Any vector in an arbitrary direction can always be replaced by two (or three)

Vedclass Test Series

Exam Paper Generator

Online Exam Module