Skip to content

Commit 6bc8214

Browse files
authored
Fix formula for r*a = C solution (#1479)
1 parent 577bc74 commit 6bc8214

File tree

1 file changed

+1
-1
lines changed

1 file changed

+1
-1
lines changed

src/geometry/basic-geometry.md

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -180,7 +180,7 @@ double angle(point2d a, point2d b) {
180180
```
181181

182182
To see the next important property we should take a look at the set of points $\mathbf r$ for which $\mathbf r\cdot \mathbf a = C$ for some fixed constant $C$.
183-
You can see that this set of points is exactly the set of points for which the projection onto $\mathbf a$ is the point $C \cdot \dfrac{\mathbf a}{|\mathbf a|}$ and they form a hyperplane orthogonal to $\mathbf a$.
183+
You can see that this set of points is exactly the set of points for which the projection onto $\mathbf a$ is the point $C \cdot \dfrac{\mathbf a}{|\mathbf a| ^ 2}$ and they form a hyperplane orthogonal to $\mathbf a$.
184184
You can see the vector $\mathbf a$ alongside with several such vectors having same dot product with it in 2D on the picture below:
185185

186186
<div style="text-align: center;">

0 commit comments

Comments
 (0)