3D vectors: lines and planes

<p>Let&nbsp;\(l\) be a straight line with equation \(ax + by + c = 0\) and \(P(x_0, y_0)\) be a point not on \(l\).</p>
<p>Show that the shortest distance from \(P\) to \(l\) is \(\frac{|ax_0 + by_0 + c|}{\sqrt{a^2 + b^2}}\).</p>

Let \(l\) be a straight line with equation \(ax + by + c = 0\) and \(P(x_0, y_0)\) be a point not on \(l\).

Show that the shortest distance from \(P\) to \(l\) is \(\frac{|ax_0 + by_0 + c|}{\sqrt{a^2 + b^2}}\).

Vectors - Distance from a Point to a Line

Vectors - Distance from a Point to a Line