The vectors $5i + 8j$ and $2i + 7j$ are added. The magnitude of the sum of these vector is
$\sqrt {274} $
$38$
$238$
$560$
The vectors $5i + 8j$ and $2i + 7j$ are added. The magnitude of the sum of these vector is
Sum of the vectors $\overrightarrow R = 5\hat i + 8\hat j + 2\hat i + 7\hat j$$ = 7\hat i + 15\hat j$
magnitude of $\overrightarrow R = \,|\overrightarrow R |\, = \sqrt {49 + 225} $$ = \sqrt {274} $