Find the Unit Vector in the Same Direction as a Given Vector
\( \) \( \)\( \)\( \)An interactive Step by step calculator and solver that generates examples to calculate the unit vector in the same direction as a given vector is presented. As many examples as needed may be generated along with detailed explanations. 1) The magnitude $||\vec{v}||$ of a vector $ \vec{v} $ given by its components as $\vec{v} = \langle a, b \rangle $ is given by $||\vec{v}||=\sqrt{a^2+b^2}$2) The unit vector $\vec{u}$ in the same direction as vector $\vec{v}$ is given by : $\vec{u} = \dfrac{1}{||\vec{v}||} \vec{v}.$ Solve each step below then click on "Show me" to check your answer. Check the sketch of the given vector and the unit vector at the bottom of the page. |