Recent changes to LinePoint

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 21:37:57 -0000

--- v6
+++ v7
@@ -8,4 +8,7 @@
  **Fig.1.** Vectors *a* and *b*, *a - b*, and representing them as sum of orthogonal vectors.

 If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1, then from a comparison with wikipage [Vectors](Vectors) we can write how to find the Point C for the question 2 above.
-$PC = P + v (PB dot V)/(v dot v)$
+.. math::
+  PC = P + v (PB \dot V) \div (v \dot v)
+
+OK

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 21:24:21 -0000

--- v5
+++ v6
@@ -7,5 +7,5 @@
 [[img src=Line_and_Point.png alt="Line and Point"]]
  **Fig.1.** Vectors *a* and *b*, *a - b*, and representing them as sum of orthogonal vectors.

-If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1, then from a comparison with wikipage [Vectors] we can write how to find the Point C for the question 2 above.
+If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1, then from a comparison with wikipage [Vectors](Vectors) we can write how to find the Point C for the question 2 above.
 $PC = P + v (PB dot V)/(v dot v)$

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 21:21:43 -0000

--- v4
+++ v5
@@ -7,4 +7,5 @@
 [[img src=Line_and_Point.png alt="Line and Point"]]
  **Fig.1.** Vectors *a* and *b*, *a - b*, and representing them as sum of orthogonal vectors.

-If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1, then from a comparison with [Vector] we can write how to find the Point C for the question 2 above.
+If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1, then from a comparison with wikipage [Vectors] we can write how to find the Point C for the question 2 above.
+$PC = P + v (PB dot V)/(v dot v)$

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 21:11:32 -0000

--- v3
+++ v4
@@ -3,4 +3,8 @@
 2. What point of the Line is closest to the given Point?
 3. What is is the distance between the Point and the Line (its closest point)?

-If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1 ![Line and Point](Line_and_Point.png)
+
+[[img src=Line_and_Point.png alt="Line and Point"]]
+ **Fig.1.** Vectors *a* and *b*, *a - b*, and representing them as sum of orthogonal vectors.
+
+If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1, then from a comparison with [Vector] we can write how to find the Point C for the question 2 above.

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 21:04:02 -0000

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 21:03:12 -0000

--- v1
+++ v2
@@ -3,4 +3,4 @@
 2. What point of the Line is closest to the given Point?
 3. What is is the distance between the Point and the Line (its closest point)?

-If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1 ![](http://)
+If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1 ![Line and Point](Line_and_Point.png)

LinePoint modified by Vladimir Chukharev

Vladimir Chukharev — Wed, 27 Jun 2018 20:59:45 -0000

A Line and a Point has the following questions to answer.
1. Does the Point belong to the Line?
2. What point of the Line is closest to the given Point?
3. What is is the distance between the Point and the Line (its closest point)?

If we have a Point B and a Line, which is defined by a Point P on it and a Vector v, see Fig.1