# Step by Step Solver to Find the Angle Between two Vectors

1) The angle $\theta$ between two vectors $\vec{u}$ and $\vec{v}$ is given by: $\theta= \arccos(\dfrac{\vec{u}\cdot \vec{v}}{||\vec{u}|| \cdot ||\vec{v}||})$
2) The magnitude $||\vec{u}||$ of a vector $ \vec{u} $ given by its components as $\vec{u} = \langle a, b \rangle $ is given by $||\vec{u}||=\sqrt{a^2+b^2}$ 3) If $\vec{u} = \langle a, b \rangle $ and $\vec{v} = \langle c, d \rangle $ , the dot product $\vec{u}\cdot \vec{v} = a \cdot c + b \cdot d$ Solve each step below then click on "Show me" to check your answer. There is a graph at the bottom of the page that helps you further understand graphically the solution to the question shown below.
Step by step solution |