(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

Easy

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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$A$ bus is moving on a straight road towards north with a uniform speed of $50 \; km/h$. Then it turns left through $90^{\circ}$. If the speed remains unchanged after turning,the increase in the velocity of the bus in the turning process is:

MediumAIPMT 1989

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Two forces of magnitude $8 \, N$ and $15 \, N$ respectively act at a point. If the resultant force is $17 \, N$,the angle between the forces is: (in $^{\circ}$)

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There are two force vectors,one of $5\, N$ and the other of $12\, N$. At what angle should the two vectors be added to get a resultant vector of $17\, N$,$7\, N$,and $13\, N$ respectively?

Medium

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If the resultant of two forces has a magnitude smaller than the magnitude of the larger force,the two forces must be

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If the angle between two vectors $A$ and $B$ is $120^{\circ}$,then their resultant $C$ will be:

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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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$A$ bus is moving on a straight road towards north with a uniform speed of $50 \; km/h$. Then it turns left through $90^{\circ}$. If the speed remains unchanged after turning,the increase in the velocity of the bus in the turning process is:

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