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3.1 vectors — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.1 vectors1 Mark
MCQ
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
  • ✓
    $\frac{\pi }{2}$
  • B
    ${\cos ^{ - 1}}(0.6)$
  • C
    ${\tan ^{ - 1}}\left( {\frac{7}{5}} \right)$
  • D
    $\frac{\pi }{4}$
✓

Answer

Correct option: A.
$\frac{\pi }{2}$
a
(a) $C = \sqrt {{A^2} + {B^2}} $

=$\sqrt {{3^2} + {4^2}} = 5$

$\therefore $ Angle between $\overrightarrow A $ and $\overrightarrow B $ is $\frac{\pi }{2}$

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