diff --git a/FHTW.typ b/FHTW.typ
index d4f8dd4..8285305 100644
--- a/FHTW.typ
+++ b/FHTW.typ
@@ -38,36 +38,32 @@ Also: $RR={arrow(a)=(a_1,a_2) | a_1 in RR, a_2 in RR }$
 
 
 === Addition von Vektoren in der Ebene
-- liefert wieder einen Vektor
+#table(
+  columns: 2,
+  stroke: none,
+  [- liefert wieder einen Vektor
 - rechnerisch: 
   - $arrow(a)=(a_1, a_2)$, $arrow(b)=(b_1, b_2)$ 
-  - $arrow(a)+arrow(b)=(a_1+b_1, a_2+b_2)$  
+  - $arrow(a)+arrow(b)=(a_1+b_1, a_2+b_2)$ 
+- Rechenregeln:
+  - $arrow(a)+arrow(b)=arrow(b)+arrow(a)$
+  - $arrow(a)+(arrow(b)+arrow(c)))$; $(arrow(a)+arrow(b))=arrow(c)$],[zeichnerisch:#abb3()]
+)
 
-#abb3()
+#pagebreak()
+=== Nullvektor in der Ebene
 
+- $arrow(0)=(0,0)$
+- Rechenregel: $arrow(a)+arrow(0)=arrow(a)$
 
-/*1.1.2 Menge aller Vektoren in der Ebene
+=== Subtraktion von Vektoren in der Ebene
 
-Die Menge aller Vektoren in der Ebene heißt $\mathbb{R}^2$; dabei ist $\mathbb{R}$ die Menge der reellen Zahlen. Also: $\mathbb{R}=\left\{\vec{a}=\left(a_1, a_2\right) \mid a_1 \in \mathbb{R}, a_2 \in \mathbb{R}\right\}$
-1.1.3 Addition von Vektoren in der Ebene
+#table(
+  columns: 2,
+  stroke: none,
+  [- liefert wieder einen Vektor
+- rechnerisch:
+  - $arrow(a)=(a_1,a_2)$, $arrow(b)=(b_1, b_2)$
+  - $arrow(a)-arrow(b)= (a_1-b_1, a_2-b_2$)  ],[#abb4()]
+)
 
-Die Addition von Vektoren liefert als Ergebnis wieder einen Vektor.
-rechnerisch:
-
-$$
-\begin{aligned}
-& \vec{a}=\left(a_1, a_2\right), \vec{b}=\left(b_1, b_2\right) \\
-& \vec{a}+\vec{b}=\left(\left(a_1+b_1, a_2+b_2\right)\right)
-\end{aligned}
-$$
-
-zeichnerisch:
-
-Rechenregeln:
-
-$$
-\begin{aligned}
-& \vec{a}+\vec{b}=\vec{b}+\vec{a} \\
-& \vec{a}+(\vec{b}+\vec{c})=(\vec{a}+\vec{b})+\vec{c}
-\end{aligned}
-$$*/
\ No newline at end of file
diff --git a/LineareAlgebraGrafiken.typ b/LineareAlgebraGrafiken.typ
index ad26a9a..a5d9cd4 100644
--- a/LineareAlgebraGrafiken.typ
+++ b/LineareAlgebraGrafiken.typ
@@ -1,4 +1,5 @@
 #import "@preview/cetz:0.3.3" //Grafiken
+#set text(font: "New Computer Modern Sans Math")
 
 #let abb1() = {
 
@@ -17,13 +18,11 @@ cetz.canvas(length: 3cm, {
     content: (padding: 1pt)
   )
 
-  grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
+  //grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
 
-
-
-  line((-.25, 0), (1.85, 0), mark: (end: "stealth"))
+  line((-.05, 0), (1.85, 0), mark: (end: "stealth", scale: 0.8))
   content((), $ x $, anchor: "west")
-  line((0, -.25), (0, 1.85), mark: (end: "stealth"))
+  line((0, -.05), (0, 1.85), mark: (end: "stealth", scale: 0.8))
   content((), $ y $, anchor: "south")
 
   for (x, ct) in ((0, $ 0 $), (0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_1$)) {
@@ -44,9 +43,9 @@ cetz.canvas(length: 3cm, {
 line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness: 1.25pt))
 
 
-  line((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+  line((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.5pt))
 
-  line((0,1.25), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+  line((0,1.25), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.5pt))
 
 circle((1.25,1.25), radius: 0.025, fill: green.darken(30%), stroke: (paint: green.darken(30%), thickness: 1.25pt), name: "punkt")
   content("punkt.end", anchor: "south-west", padding: (left: 3mm, bottom: 2mm),  text(green.darken(30%))[Punkt $(a_1, a_2)$])})
@@ -68,13 +67,11 @@ circle((1.25,1.25), radius: 0.025, fill: green.darken(30%), stroke: (paint: gree
     content: (padding: 1pt)
   )
 
-  grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
+//  grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
 
-
-
-  line((-.25, 0), (1.85, 0), mark: (end: "stealth"))
+  line((-.05, 0), (1.85, 0), mark: (end: "stealth", scale: 0.8))
   content((), $ x $, anchor: "west")
-  line((0, -.25), (0, 1.85), mark: (end: "stealth"))
+  line((0, -.05), (0, 1.85), mark: (end: "stealth", scale: 0.8))
   content((), $ y $, anchor: "south")
 
   for (x, ct) in ((0, $ 0 $), (0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_1$)) {
@@ -91,11 +88,11 @@ circle((1.25,1.25), radius: 0.025, fill: green.darken(30%), stroke: (paint: gree
 line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness: 1.25pt))
 
 
-  line((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+  line((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.5pt))
 
-  line((0,1.25), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+  line((0,1.25), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.5pt))
 
-  line((0,0), (1.25, 1.25),name: "vec",mark: (end: "stealth", fill: green.darken(30%)), stroke: (paint: green.darken(30%), thickness: 1.25pt))
+  line((0,0), (1.25, 1.25),name: "vec",mark: (end: "stealth", fill: green.darken(30%),scale: 0.8), stroke: (paint: green.darken(30%), thickness: 1.25pt))
 
   content("vec.end", anchor: "north-west", padding: (left: 3mm, top: -2mm), text(green.darken(30%))[Vektor $arrow(a)$])
 })
@@ -103,7 +100,7 @@ line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness:
 }
 
 #let abb3() = {
-  cetz.canvas(length: 37mm,
+  cetz.canvas(length: 40mm,
    {
   import cetz.draw: *
 
@@ -119,34 +116,90 @@ line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness:
     content: (padding: 1pt)
   )
 
-  grid((-.25, -.25), (2.5 , 2 ), step: 0.5, stroke: gray + 0.2pt)
+  //grid((-.25, -.25), (2.5 , 2 ), step: 0.5, stroke: gray + 0.2pt)
 
-    line((-.25, 0), (2.25, 0), mark: (end: "stealth"))
+  line((-.05, 0), (80mm, 0), mark: (end: "stealth",scale: 0.9))
   content((), $ x $, anchor: "west")
-  line((0, -.25), (0, 1.85), mark: (end: "stealth"))
+  line((0, -.05), (0, 70mm), mark: (end: "stealth",scale: 0.9))
   content((), $ y $, anchor: "south")
 
-  for (x, ct) in ((0.25, $ 1 $), (0.5, $ 2$), (0.75, $ a_1 $),(1, $b_1$), (1.25,$5$), (1.5, $6$),(1.75, $a_1+b_1$)) {
+  for (x, ct) in ((10mm, $ 1 $), (20mm, $ b_1$), (30mm, $ 3 $),(40mm, $a_1$), (50mm,$5$), (60mm, $a_1 + b_1$),(70mm, $7$)) {
     line((x, 3pt), (x, -3pt))
     content((), anchor: "north", ct)
   }
 
-  for (y, ct) in ((0.25, $ 1 $), (0.5, $ a_2 $), (.75, $ 3 $), (1., $b_2$),(1.25,$5$), (1.5, $6$)) {
+  for (y, ct) in ((10mm, $ a_2 $), (20mm, $ 2 $), (30mm, $ 3 $), (40mm, $b_2$),(1.25,$a_2+b_2$), (1.5, $6$)) {
     line((3pt, y), (-3pt, y))
     content((), anchor: "east", ct)
   }
 
-  line((0,0), (0.75, .5),name: "veca",mark: (end: "stealth", fill: blue.darken(30%)), stroke: (paint: blue.darken(30%), thickness: 0.75pt))
+  line((0,0), (40mm, 10mm),name: "veca",mark: (end: "stealth", fill: blue.darken(30%),scale:0.9), stroke: (paint: blue.darken(30%), thickness: 0.75pt))
   
-  content("veca.100%", anchor: "west", padding: (left:1mm, bottom:-5mm),text(blue.darken(30%))[$arrow(a)$])
+ content("veca.100%", anchor: "west", padding: (left:1mm, bottom:-5mm),text(blue.darken(30%))[$arrow(a)$])
 
-  line((0,0), (1, 1),name: "vecb",mark: (end: "stealth", fill: red.darken(30%)), stroke: (paint: red.darken(30%), thickness: 0.75pt))
+ line((40mm,0), (40mm, 10mm ), stroke: (dash: "dotted",paint: blue.darken(30%), thickness: 0.5pt))
 
-  content("vecb.80%", anchor: "east", padding: (left:0mm, bottom:5mm),text(red.darken(30%))[$arrow(b)$])
+ line((0,10mm), (40mm, 10mm), stroke: (dash: "dotted",paint: blue.darken(30%), thickness: 0.5pt))
+ 
+ line((0,0), (20mm, 40mm),name: "vecb",mark: (end: "stealth", fill: red.darken(30%),scale: 0.9), stroke: (paint: red.darken(30%), thickness: 0.75pt))
 
-  //
+ content("vecb.80%", anchor: "east", padding: (left:0mm, bottom:5mm),text(red.darken(30%))[$arrow(b)$])
 
-  //line((0,0), (1.5, 1),name: "vecb",mark: (end: "stealth", fill: red), stroke: (paint: red, thickness: 0.75pt))
+ line((20mm,0mm), (20mm, 40mm), stroke: (dash: "dotted",paint: red.darken(30%), thickness: 0.5pt))
 
+ line((0mm,40mm), (20mm, 40mm), stroke: (dash: "dotted",paint: red.darken(30%), thickness: 0.5pt))
 
-  })}
\ No newline at end of file
+ line((0,0), (60mm, 50mm),name: "vec_ab",mark: (end: "stealth", fill: orange ,scale: 0.9), stroke: (paint: orange, thickness: 0.75pt))
+
+ content("vec_ab.100%", anchor: "east", padding: (left:0mm, bottom:5mm),text(green.darken(60%))[$arrow(a) + arrow(b)$])
+
+ line((20mm,40mm), (60mm, 50mm),name: "veca_dotted",mark: (end: "stealth", scale: 0.9), stroke: (dash: "dotted", paint: blue, thickness: 0.75pt))
+ 
+ line((40mm,10mm), (60mm, 50mm),name: "vecb_dotted",mark: (end: "stealth", scale: 0.9), stroke: (dash: "dotted", paint: red, thickness: 0.75pt))
+
+ content((50mm, 20mm), [Parallelogramm])
+
+  arc(
+    (48mm, 18mm),
+    radius: 0.25,
+    start: -45deg,
+    delta: -90deg,
+    mark: (
+      end: "stealth",
+    ))
+
+  line((60mm,0mm), (60mm, 50mm),name: "vecab_dotted", stroke: (dash: "dotted", paint: orange, thickness: 0.75pt))
+
+  line((0mm,50mm), (60mm, 50mm),name: "vecab_dotted",stroke: (dash: "dotted", paint: orange, thickness: 0.75pt))
+    
+  })}
+
+  #let abb4() = {
+
+      cetz.canvas(length: 40mm,
+   {
+  import cetz.draw: *
+
+  set-style(
+    mark: (fill: black, scale: 2),
+    stroke: (thickness: 0.4pt, cap: "round"),
+    angle: (
+      radius: 0.3,
+      label-radius: .22,
+      fill: green.lighten(80%),
+      stroke: (paint: green.darken(50%))
+    ),
+    content: (padding: 1pt)
+  )
+
+  //grid((-.25, -.25), (2.5 , 2 ), step: 0.5, stroke: gray + 0.2pt)
+
+  line((-30mm, 0), (50mm, 0), mark: (end: "stealth",scale: 0.9))
+  content((), $ x $, anchor: "west")
+  line((0, -.05), (0, 70mm), mark: (end: "stealth",scale: 0.9))
+  content((), $ y $, anchor: "south")
+
+  
+})
+    
+  }
\ No newline at end of file