Step by Step Solver to Find the Unit Vector in the Same Direction as a Given Vector

Step by Step Solver to Find the Unit Vector in
the Same Direction as a Given Vector

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.


Step by step solution












Below are shown the given vector (green) and the unit vector (red) in the same direction.




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