The component of vector $A = 2\hat i + 3\hat j$ along the vector $\hat i + \hat j$is
$\frac{5}{{\sqrt 2 }}$
$10\sqrt 2 $
$5\sqrt 2 $
$5$
The component of vector $A = 2\hat i + 3\hat j$ along the vector $\hat i + \hat j$is
$\frac{{\overrightarrow A .\overrightarrow B }}{{|\vec i + \vec j|}} = \frac{{(2\hat i + 3\hat j)\,(\hat i + \hat j)}}{{\sqrt 2 }}$$ = \frac{{2 + 3}}{{\sqrt 2 }} = \frac{5}{{\sqrt 2 }}$