Unit vector in the direction of $$$\left\langle 1, 0\right\rangle$$$

Find the unit vector in the direction of $$$\mathbf{\vec{u}} = \left\langle 1, 0\right\rangle$$$.

The magnitude of the vector is $$$\mathbf{\left\lvert\vec{u}\right\rvert} = 1$$$ (for steps, see magnitude calculator).

Since the magnitude equals $$$1$$$, the given vector is already a unit vector.

Thus, the unit vector is $$$\mathbf{\vec{e}} = \left\langle 1, 0\right\rangle$$$.

The unit vector in the direction of $$$\left\langle 1, 0\right\rangle$$$A is $$$\left\langle 1, 0\right\rangle$$$A.