The unit vector along î + ĵ is

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The unit vector along $\hat i + \hat j$ is

A

$\hat k$

B

$\hat i + \hat j$

C

$\frac{{\hat i + \hat j}}{{\sqrt 2 }}$

D

$\frac{{\hat i + \hat j}}{2}$

The unit vector along $\hat i + \hat j$ is

$\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$