As given by the question
There are given that the point (8, 12).
Now,
To find the magnitute of the v, use formula of magnitude:
So,
From the formula:
![\lvert a,b\rvert=\sqrt[]{a^2+b^2}](https://img.qammunity.org/2023/formulas/mathematics/college/v3ceyjvj8o3cjemd55tnfjb2xgn7mxcw0x.png)
Then,
Apply above formula into the given poit
So,
![\begin{gathered} \lvert8,12\rvert=\sqrt[]{8^2+12^2} \\ =\sqrt[]{64^{}+144^{}} \\ =\sqrt[]{208} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/kh8nezmxxtj021ppvvdsl5mf9sl5h1x0j1.png)
Hence, the magnitude of the given point is shown below:
![\sqrt[]{208}=4\sqrt[]{13}](https://img.qammunity.org/2023/formulas/mathematics/college/18rpfcnjshwwr4esmc1uz9syykfsl985xv.png)