Consider the infinite line, $L$ in $2D$ consisting of all points $p$ such that $p.[0.3511 0.9263]= 6$. Find the point on the line closest to $(10, 20)$. Find the point on the line closest to $(4, 3)$. Find the distance from the line to both of these points.
Hi, I was reading the book $3D$ Maths Primer for Graphics and Game Development. The book mention about $2$ formulas but I don't know how to apply them.
$\text{Signed distance} = d-q.n$
$q' = q + (d-q.n)n$
for any point $q$, the point $q'$ that is the closest point on $L$ to $q$.
This is what I have tried,
Since the lines are parallel then the normal are the same so
$q' = q + (6 - q(0.3511 0.9263))(0.3511 0.9263)$
I'm stuck here.