Answer
$1(\dfrac{3}{5}i+\dfrac{4}{5}k)$
Work Step by Step
Formula to find the unit vector $\hat{\textbf{v}}$ is: $\hat{\textbf{v}}=\dfrac{v}{|v|}$
Given:$v=\dfrac{3}{5}i+\dfrac{4}{5}k$;
$|v|=\sqrt{(\dfrac{3}{5})^2+(\dfrac{4}{5})^2}=\sqrt{\dfrac{9}{25}+\dfrac{16}{25}}=1$
Thus, $\hat{\textbf{v}}=\dfrac{(\dfrac{3}{5}i+\dfrac{4}{5}k)}{1}=(\dfrac{3}{5}i+\dfrac{4}{5}k)$
and, $v=|v|\hat{\textbf{v}}=1(\dfrac{3}{5}i+\dfrac{4}{5}k)$
