The magnitudes of two vectors are A and B (A | vedclass

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

Question

(D) The maximum resultant magnitude of two vectors $A$ and $B$ is given by $R_{max} = A + B$.The minimum resultant magnitude of two vectors $A$ and $B

Vedclass · Accepted Answer

$\frac{n+1}{n-1}$

Vedclass · Answer

(D) The maximum resultant magnitude of two vectors $A$ and $B$ is given by $R_{max} = A + B$.The minimum resultant magnitude of two vectors $A$ and $B$ is given by $R_{min} = A - B$.According to the problem,$R_{max} = n \cdot R_{min}$.Substituting the expressions,we get $A + B = n(A - B)$.Expanding the equation: $A + B = nA - nB$.Rearranging the terms to group $A$ and $B$: $A - nA = -nB - B$.$A(1 - n) = -B(n + 1)$.Dividing both sides by $B(1 - n)$: $\frac{A}{B} = \frac{-(n + 1)}{1 - n}$.Multiplying the numerator and denominator by $-1$: $\frac{A}{B} = \frac{n + 1}{n - 1}$.

The magnitudes of two vectors are $A$ and $B$ $(A > B)$. If the maximum resultant magnitude of the two vectors is $n$ times their minimum resultant magnitude,then $\frac{A}{B} =$

Similar Questions

$A$ particle moves $21 \ m$ along the direction of the vector $6\hat{i} + 2\hat{j} + 3\hat{k}$,then it moves $14 \ m$ along the direction of the vector $3\hat{i} - 2\hat{j} + 6\hat{k}$. What is its total displacement (in meters)?

The resultant $\vec{R}$ of $\vec{P}$ and $\vec{Q}$ is perpendicular to $\vec{P}$. Also,$|\vec{P}| = |\vec{R}|$. Find the angle between $\vec{P}$ and $\vec{Q}$.

If $\overrightarrow A = 2\hat i + \hat j$,$\overrightarrow B = 3\hat j - \hat k$,and $\overrightarrow C = 6\hat i - 2\hat k$,find the value of $\overrightarrow A - 2\overrightarrow B + 3\overrightarrow C$.

The $x$ and $y$ components of vector $\vec{P}$ have magnitudes $1$ and $3$,and the $x$ and $y$ components of the resultant of $\vec{P}$ and $\vec{Q}$ have magnitudes $5$ and $6$ respectively. What is the magnitude of $\vec{Q}$?

The $x$-component of the resultant of several vectors is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module