Find a unit vector parallel to the resultant of the vectors A= 2i+3j+4

1.	Find a unit vector parallel to the resultant of the vectors A= 2i+3j+4k and B=3i+5j+k
Answer» $\sf{\large{\underline{\underline{EXPLANATION:}}}}$ RESULTANT of vectors A and B is given by,, A+B=5i+8j+5k Now USING,, $\mathtt{\blue{A+B=(\|A+B\|)(Â+B^)}}$ We get,, Unit VECTOR parallel to A+B,, $\mathtt{\to{Â+B^=\frac{A+B}{\|A+B\|}}}$ $\mathtt{\to{Â+B^=\frac{5i+8j+5j}{\sqrt {5^{2}+8^{2}+5^{2}}}}}$ $\mathtt{\to{Â+B=\frac{5i+8j+5k}{\sqrt {114}}}}$ $\mathtt{\to{Â+B=\frac{5i}{\sqrt {114}}+\frac{8j}{\sqrt {114}}+\frac{5k}{\sqrt {114}}}}$ $\rule{200}2$ HOPE it helps ❣️❣️❣️