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

What is a unit vector? Explain.

If $|\vec{P}+\vec{Q}|=|\vec{P}|=|\vec{Q}|$,then the angle between $\vec{P}$ and $\vec{Q}$ is: (in $^{\circ}$)

The value of a unit vector in the direction of vector $\vec A = 5\hat i - 12\hat j$ is:

The five sides of a regular pentagon are represented by vectors $A_1, A_2, A_3, A_4$ and $A_5$ in cyclic order as shown in the figure. Corresponding vertices are represented by vectors $B_1, B_2, B_3, B_4$ and $B_5$,drawn from the center of the pentagon. Then,$B_2 + B_3 + B_4 + B_5$ is equal to:

Explain position and displacement vectors. How is the magnitude of a vector quantity represented?

Vedclass Test Series

Exam Paper Generator

Online Exam Module