Unit vector parallel to the resultant of vectors $\vec A = 4\hat i - 3\hat j$and $\vec B = 8\hat i + 8\hat j$ will be
Unit vector parallel to the resultant of vectors $\vec A = 4\hat i - 3\hat j$and $\vec B = 8\hat i + 8\hat j$ will be
$\frac{{24\hat i + 5\hat j}}{{13}}$
$\frac{{12\hat i + 5\hat j}}{{13}}$
$\frac{{6\hat i + 5\hat j}}{{13}}$
None of these
Unit vector parallel to the resultant of vectors $\vec A = 4\hat i - 3\hat j$and $\vec B = 8\hat i + 8\hat j$ will be
Resultant of vectors $\overrightarrow A $ and $\overrightarrow B $
$\overrightarrow R = \overrightarrow A + \overrightarrow B = 4\hat i - 3\hat j + 8\hat i + 8\hat j$$ = 12\hat i + 5\hat j$
$\hat R = \frac{{\overrightarrow R }}{{|R|}} = \frac{{12\hat i + 5\hat j}}{{\sqrt {{{(12)}^2} + {{(5)}^2}} }}$$ = \frac{{12\hat i + 5\hat j}}{{13}}$