Unit Vector Calculator
The calculator will find the unit vector in the direction of the given vector, with steps shown.
Your Input
Find the unit vector in the direction of $$$\mathbf{\vec{u}} = \left\langle 3, 4\right\rangle$$$.
Solution
The magnitude of the vector is $$$\mathbf{\left\lvert\vec{u}\right\rvert} = 5$$$ (for steps, see magnitude calculator).
The unit vector is obtained by dividing each coordinate of the given vector by the magnitude.
Thus, the unit vector is $$$\mathbf{\vec{e}} = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle$$$ (for steps, see vector scalar multiplication calculator).