5 MathJax Test
1.1 Length of a Vector
It follows from the Pythagorean formula that the length [latex]\|\mathrm{a}\|[/latex] of [latex]\mathbf{a}=\left\langle a_{1}, a_{2}\right\rangle[/latex] satisfies [latex]\|a\|^{2}=a_{1}^{2}+a_{2}^{2} .[/latex]
This is shown in the following image:
Thus we get
[latex]\|a\|=\sqrt{a_{1}^{2}+a_{2}^{2}} \text {. }[/latex]
Example: Use the graph of [latex]y=g(x)[/latex] to sketch the graphs of:
[latex]y=g\left(x+2\right)-1[/latex]
This is different math [latex]A=\pi\ r^2[/latex] that I think I know how it should sound.
This equation I can guess at:
[latex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/latex]