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