Encapsulation

Part 1

Follow the tutorial in the following video:

Part 2

Then add the remaining static methods to the VectorMath class (Scale, DotProduct, CrossProduct, Magnitude, Normalize) following the structure laid out in this UML class diagram:

The vector operations these methods should compute are:

\begin{matrix} (Vector Addition) & \vec{a} + \vec{b} = ⟨ a_{x} + b_{x}, a_{y} + b_{y}, a_{z} + b_{z} ⟩ \end{matrix}

\begin{matrix} (Vector Subtraction) & \vec{a} - \vec{b} = ⟨ a_{x} - b_{x}, a_{y} - b_{y}, a_{z} - b_{z} ⟩ \end{matrix}

\begin{matrix} (Vector Scaling) & \vec{a} \cdot s = ⟨ a_{x} \cdot s, a_{y} \cdot s, a_{z} \cdot s ⟩ \end{matrix}

\begin{matrix} (Vector Dot Product) & \vec{a} \cdot \vec{b} = ⟨ a_{x} b_{x} + a_{y} b_{y} + a_{z} b_{z} ⟩ \end{matrix}

\begin{matrix} (Vector Cross Product) & \vec{a} \times \vec{b} = ⟨ a_{y} b_{z} - a_{z} b_{y}, a_{z} b_{x} - a_{x} b_{z}, a_{x} b_{y} - a_{y} b_{x} ⟩ \end{matrix}

\begin{matrix} (Vector Magnitude) & | | \vec{a} | | = \sqrt{a_{x}^{2} + a_{y}^{2} + a_{z}^{2}} \end{matrix}

\begin{matrix} (Vector Normalization) & \hat{u} = \frac{\vec{u}}{| | \vec{u} | |} \end{matrix}

You can uncomment the tests in the VectorMathUnitTests class and then run them to verify your work.

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