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3.1 vectors — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.1 vectors1 Mark
MCQ
The unit vector along $\hat i + \hat j$ is
  • A
    $\hat k$
  • B
    $\hat i + \hat j$
  • ✓
    $\frac{{\hat i + \hat j}}{{\sqrt 2 }}$
  • D
    $\frac{{\hat i + \hat j}}{2}$
✓

Answer

Correct option: C.
$\frac{{\hat i + \hat j}}{{\sqrt 2 }}$
c
(c)$\hat R$$ = \frac{{\vec R}}{{|R|}} = \frac{{\hat i + \hat j}}{{\sqrt {{1^2} + {1^2}} }} = \frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j$

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