# A unit vector parallel to vector V= (2,-3,6) is what?

$\left(\frac{2}{7} , - \frac{3}{7} , \frac{6}{7}\right)$
A unit vector parallel to $\vec{v}$ will be (vec v)/(||vec v||.
Since in this case $| | v | | = \sqrt{{2}^{2} + {3}^{3} + {6}^{2}} = 7$, it implies that a unit vector parallel to v will be $\left(\frac{2}{7} , - \frac{3}{7} , \frac{6}{7}\right)$