(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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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

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