The resultant of two vectors vec{A} and vec{B | vedclass

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

Question

(C) Let the resultant vector be $\vec{R} = \vec{A} + \vec{B}$.By the law of sines in the triangle formed by vectors $\vec{A}$,$\vec{B}$,and $\vec{R}$,

Vedclass · Accepted Answer

$\alpha  B$

Vedclass · Answer

(C) Let the resultant vector be $\vec{R} = \vec{A} + \vec{B}$.By the law of sines in the triangle formed by vectors $\vec{A}$,$\vec{B}$,and $\vec{R}$,we have $\frac{A}{\sin \beta} = \frac{B}{\sin \alpha}$.This implies $\frac{\sin \alpha}{\sin \beta} = \frac{B}{A}$.If $A > B$,then $\frac{B}{A} Since $\alpha$ and $\beta$ are angles within a triangle,$\sin \alpha Therefore,the resultant vector is closer to the vector with the larger magnitude. Thus,if $A > B$,then $\alpha < \beta$.

The resultant of two vectors $\vec{A}$ and $\vec{B}$ makes an angle $\alpha$ with $\vec{A}$ and an angle $\beta$ with $\vec{B}$. Which of the following is true?

Similar Questions

$0.4\hat i + 0.8\hat j + c\hat k$ represents a unit vector when $c$ is

Let $\overrightarrow{A} = \hat{i}A\cos\theta + \hat{j}A\sin\theta$ be any vector. Another vector $\overrightarrow{B}$ which is normal to $\overrightarrow{A}$ is

What is a position vector? What is a displacement vector? Explain the equality of vectors.

$A$ particle has a displacement of $12 \, m$ towards east,$5 \, m$ towards north,and $6 \, m$ vertically upward. The magnitude of the resultant displacement is ......... $m$.

The vector $\overrightarrow{OA}$ where $O$ is the origin is given by $\overrightarrow{OA} = 2\hat{i} + 2\hat{j}$. If it is rotated by $45^{\circ}$ in the anticlockwise direction about $O$,what will be the new vector?

Vedclass Test Series

Exam Paper Generator

Online Exam Module