May 27, 2015 · The distance between $ (1,2,-1)$ and $ (1,0,1)$ is way less than $57.6$ and it's very unlikely that $ (1,2,-1)$ is the closest point on the line. So you must have made a mistake.

Aug 28, 2016 · 2 Playing with the solutions, I built this simulation one of them: Using a vector equation of the line through $BC$. And Pythagoras's theorem to get the distance from $A$ to …

Apr 28, 2018 · I have a point at (4,6) and a line defined by points (-7,9) and (10, 9). How would I find the shortest distance between the point and the line, without converting each into linear …

May 5, 2018 · Yet another way takes advantage of the geometry of the situation to make a direct computation. If $\vec r_1$ and $\vec r_2$ are two points on the line, then the perpendicular …

Oct 11, 2012 · The distance between two lines in $ \Bbb R^3 $ is equal to the distance between parallel planes that contain these lines. To find that distance first find the normal vector of …

Now, since I want another point along this line, but a distance $d$ away from $ (x_0, y_0)$, I will get an equation of a circle with radius $d$ with a center $ (x_0, y_0)$ then find the point of …

Jun 8, 2012 · The shortest distance from a point to a line is always perpendicular to the given line. Here, the given line is in the direction of the vector $\langle x_2-x_1, y_2-y_1, z_2-z_1\rangle$.

Jun 6, 2016 · Compute the distance between the point R(1, 1, 1) and the line (0, -1, 1) + t(1, -2, 2) Can someone please show me how to answer this in full? It was in a test recently and is still …

Jan 3, 2016 · Finding shortest distance from a point to line through direction vector Ask Question Asked 9 years, 11 months ago Modified 1 year, 9 months ago

I'm pretty sure this may be a duplicate post somewhere, but I've searched all through the internet looking for a definite formula to calculate the distance between a point and a line segment. …