(A) Given that the magnitudes are $|vec A| = 3$,$|vec B| = 4$,and $|vec C| = 5$.Since $\vec A + \vec B = \vec C$,we can check if the magnitudes satisf

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(A) Given that the magnitudes are $|vec A| = 3$,$|vec B| = 4$,and $|vec C| = 5$.Since $\vec A + \vec B = \vec C$,we can check if the magnitudes satisfy the Pythagorean theorem: $|vec A|^2 + |\vec B|^2 = 3^2 + 4^2 = 9 + 16 = 25 = 5^2 = |\vec C|^2$.Since $|vec A|^2 + |\vec B|^2 = |\vec C|^2$,the vectors $\vec A$ and $\vec B$ must be perpendicular to each other.Therefore,the angle between $\vec A$ and $\vec B$ is $\frac{\pi}{2}$.

Class 11 Physics 3-1.Vectors Addition and Subtraction of Vectors

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The magnitudes of vectors $\vec A, \vec B$ and $\vec C$ are $3, 4$ and $5$ units respectively. If $\vec A + \vec B = \vec C$,the angle between $\vec A$ and $\vec B$ is

AIPMT 1988 All AIPMT

A
$\frac{\pi}{2}$
B
$\cos^{-1}(0.6)$
C
$\tan^{-1}\left(\frac{7}{5}\right)$
D
$\frac{\pi}{4}$

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3-1.Vectors

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Addition and Subtraction of Vectors

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AIPMT 1988 Paper All AIPMT years →

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

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The resultant of $\vec{A} + \vec{B}$ is $\vec{R}_1$. On reversing the vector $\vec{B}$,the resultant becomes $\vec{R}_2$. What is the value of $R_1^2 + R_2^2$?

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Two forces of magnitudes $3 \, N$ and $4 \, N$ are acting on an object. If the angle between them is $90^\circ$,then their resultant force is ... $N$.

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Give the names of two methods for vector addition. Write the law of parallelogram for vector addition.

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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 $\vec{Q}$.

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The magnitudes of vectors $\vec A, \vec B$ and $\vec C$ are $3, 4$ and $5$ units respectively. If $\vec A + \vec B = \vec C$,the angle between $\vec A$ and $\vec B$ is

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

The resultant of $\vec{A} + \vec{B}$ is $\vec{R}_1$. On reversing the vector $\vec{B}$,the resultant becomes $\vec{R}_2$. What is the value of $R_1^2 + R_2^2$?

Two forces of magnitudes $3 \, N$ and $4 \, N$ are acting on an object. If the angle between them is $90^\circ$,then their resultant force is ... $N$.

Give the names of two methods for vector addition. Write the law of parallelogram for vector addition.

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