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Unit Vector Calculator
Calculate unit vectors step by step
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).
Answer
The unit vector in the direction of $$$\left\langle 3, 4\right\rangle$$$A is $$$\left\langle \frac{3}{5}, \frac{4}{5}\right\rangle = \left\langle 0.6, 0.8\right\rangle$$$A.
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