The magnitude of the vector sum of two forces | vedclass

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

Question

(D) The magnitude of the resultant vector $\vec{R} = \vec{A} + \vec{B}$ of two vectors with magnitudes $A$ and $B$ must lie in the range $|A - B| \leq

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(D) The magnitude of the resultant vector $\vec{R} = \vec{A} + \vec{B}$ of two vectors with magnitudes $A$ and $B$ must lie in the range $|A - B| \leq R \leq A + B$.Given $A = 10 \ N$ and $B = 6 \ N$,the range is $|10 - 6| \leq R \leq 10 + 6$,which simplifies to $4 \leq R \leq 16$.This means the resultant magnitude $R$ must be between $4 \ N$ and $16 \ N$ (inclusive).Among the given options,$2 \ N$ is less than $4 \ N$,so it cannot be the magnitude of the resultant vector.

The magnitude of the vector sum of two forces $10 \ N$ and $6 \ N$ cannot be ......... $N$.

Similar Questions

The vectors $(\vec{A} + \vec{B})$ and $(\vec{A} - \vec{B})$ are perpendicular to each other. This is possible under the condition:

For the given figure,which of the following relations is correct?

Given that $\vec{A} + \vec{B} = \vec{C}$. If $|\vec{A}| = 4, |\vec{B}| = 5$ and $|\vec{C}| = \sqrt{61}$,the angle between $\vec{A}$ and $\vec{B}$ is ....... $^o$

$A$ car moves with a speed of $20 \, m/s$ towards the North. It turns and moves with the same speed towards the West. What is the change in velocity?

The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module