The figure shows three vectors p,q,and r,wher | vedclass

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

Question

(A) In $	riangle OAB$,$C$ is the midpoint of $AB$. By the triangle law of vector addition:In $	riangle OAC$,$\vec{p} = \vec{r} + \vec{AC} \implies \

Vedclass · Accepted Answer

$p+q=2r$

Vedclass · Answer

(A) In $	riangle OAB$,$C$ is the midpoint of $AB$. By the triangle law of vector addition:In $	riangle OAC$,$\vec{p} = \vec{r} + \vec{AC} \implies \vec{AC} = \vec{p} - \vec{r}$.In $	riangle OBC$,$\vec{q} = \vec{r} + \vec{BC} \implies \vec{BC} = \vec{q} - \vec{r}$.Since $C$ is the midpoint of $AB$,the vector $\vec{AC}$ is equal to the vector $\vec{CB}$.Therefore,$\vec{AC} = -\vec{BC}$.Substituting the expressions,we get: $\vec{p} - \vec{r} = -(\vec{q} - \vec{r})$.$\vec{p} - \vec{r} = -\vec{q} + \vec{r}$.$\vec{p} + \vec{q} = 2\vec{r}$.Thus,the correct relation is $p+q=2r$.

The figure shows three vectors $p$,$q$,and $r$,where $C$ is the midpoint of $AB$. Which of the following relations is correct?

Similar Questions

The angle $\beta$ between vector $\overrightarrow{A}$ and the resultant vector $(\overrightarrow{A}-\overrightarrow{B})$ is given by:

Can the resultant of $2$ vectors be zero?

The three vectors $\vec A = 3\hat i - 2\hat j + \hat k$,$\vec B = \hat i - 3\hat j + 5\hat k$,and $\vec C = 2\hat i + \hat j - 4\hat k$ form:

Explain the parallelogram method for vector addition. Also,explain how this is comparable to the triangle method.

Given that $P + Q + R = 0$. Which of the following statements is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module