1.x Scalar equation

What is a Scalar Equation

• Ex

  • $x+2y+3z=4$
    • ⇒ just turn it into a standart vector equation
      • ⇒ we just make y and z free variables because there is only one term and we cannot define the rest

$$\begin{array}{r}\left[\begin{array}{c}x\\ y\\ z\end{array}\right]=\left[\begin{array}{c}1\\ 0\\ 0\end{array}\right]+t\left[\begin{array}{c}2\\ 0\\ 0\end{array}\right]+\left[\begin{array}{c}0\\ 0\\ 3\end{array}\right]\end{array}$$