Resultant of two vectors vec{A} and vec{B} is perpendicular to overrightarrow{mathrm{A}} and its mag

English

Gujarati

Hindi

3-1.Vectors

hard

The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\overrightarrow{\mathrm{A}}$ and its magnitude is half that of $\vec{B}$. The angle between vectors $\vec{A}$ and $\vec{B}$ is . . . . . .

A$100$

B$110$

C$150$

D$160$

(JEE MAIN-2024)

Solution

$ B \cos \theta=\frac{B}{2}$
$\Rightarrow \theta=60^{\circ}$
So, angle between $\overrightarrow{\mathrm{A}} \& \overrightarrow{\mathrm{B}}$ is $90^{\circ}+60^{\circ}=150^{\circ}$

Standard 11

Physics

Two forces of $12 \,N$ and $8 \,N$ act upon a body. The resultant force on the body has maximum value of……..$N$

easy

Let $\overrightarrow C = \overrightarrow A + \overrightarrow B$

$(A)$ It is possible to have $| \overrightarrow C | < | \overrightarrow A |$ and $ | \overrightarrow C | < | \overrightarrow B|$

$(B)$ $|\overrightarrow C |$ is always greater than $|\overrightarrow A |$

$(C)$ $|\overrightarrow C |$ may be equal to $|\overrightarrow A | + |\overrightarrow B|$

$(D)$ $|\overrightarrow C |$ is never equal to $|\overrightarrow A | + |\overrightarrow B|$

Which of the above is correct

medium

Two forces with equal magnitudes $F$ act on a body and the magnitude of the resultant force is $F/3$. The angle between the two forces is

medium

Which pair of the following forces will never give resultant force of $2\, N$

easy

Two forces are such that the sum of their magnitudes is $18\; N$ and their resultant is $12\; N$ which is perpendicular to the smaller force. Then the magnitudes of the forces are

medium

(AIEEE-2002)

The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\overrightarrow{\mathrm{A}}$ and its magnitude is half that of $\vec{B}$. The angle between vectors $\vec{A}$ and $\vec{B}$ is . . . . . .

Solution

Similar Questions

Two forces of $12 \,N$ and $8 \,N$ act upon a body. The resultant force on the body has maximum value of……..$N$

Two forces with equal magnitudes $F$ act on a body and the magnitude of the resultant force is $F/3$. The angle between the two forces is

Which pair of the following forces will never give resultant force of $2\, N$

Two forces are such that the sum of their magnitudes is $18\; N$ and their resultant is $12\; N$ which is perpendicular to the smaller force. Then the magnitudes of the forces are

Start a Free Trial Now