Fix cross product formula in basic-geometry.md (cp-algorithms#1573)

yash-shj · web-flow · commit b62f5e4591fd · 2025-12-09T14:20:18.000+01:00
diff --git a/src/geometry/basic-geometry.md b/src/geometry/basic-geometry.md
@@ -235,7 +235,7 @@ we can calculate the cross product of $\mathbf a = (x_1;y_1;z_1)$ and $\mathbf b
 
 $$\mathbf a\times \mathbf b = (x_1 \cdot \mathbf e_x + y_1 \cdot \mathbf e_y + z_1 \cdot \mathbf e_z)\times (x_2 \cdot \mathbf e_x + y_2 \cdot \mathbf e_y + z_2 \cdot \mathbf e_z) =$$
 
-$$(y_1 z_2 - z_1 y_2)\mathbf e_x  + (z_1 x_2 - x_1 z_2)\mathbf e_y + (x_1 y_2 - y_1 x_2)$$
+$$(y_1 z_2 - z_1 y_2)\mathbf e_x  + (z_1 x_2 - x_1 z_2)\mathbf e_y + (x_1 y_2 - y_1 x_2)\mathbf e_z$$
 
 Which also can be written in the more elegant form:
 
