change 三维思考

exampleSite/content/post/三维方向的思考/index.zh-cn.md

@@ -43,8 +43,49 @@ This article offers a sample of basic Markdown.
 
 ![1699198980225](图片/1699198980225.png)
 
+### 叉乘:
 
+![1699200464682](图片/1699200464682.png)
 
+a（x1，y1），b（x2，y2），则a×b=（x1\*y2-x2\*y1）
 
+---
+
+![1699200969023](图片/1699200969023.png)
+
+```
+顶点一:(0,0,0)
+顶点二:(1,0,0)
+顶点三:(0,1,0)
+向量a = (1,0,0)-(0,0,0) = (1,0,0) = (a₁,a₂,a₃)
+向量b = (0,1,0)-(0,0,0) = (0,1,0) = (b₁,b₂,b₃)
+axb = (0,0,1)
+
+```
+
+至于为啥 (1,0,0)  $X$  (0,1,0) = (0,0,1)?
+
+根据叉积的计算公式为：==23 32, 31 13,12 21==
+$a × b$ = ($a₂b₃$- $a₃b₂$, $a₃b₁$ - $a₁b₃$, $a₁b₂$ - $a₂b₁$)
+
+=(0\*0-0\*1, 0\*0-1\*0, 1\*1-0\*0)
+
+=(0, 0 ,1)
+
+![1699200939039](图片/1699200939039.png)
+
+### 点乘:(完整)
 
 ![1699199213786](图片/1699199213786.png)
+
+上面是二维,下面是三维:
+
+ V1( x1, y1, z1)·V2(x2, y2, z2) = x1\*x2 + y1\*y2 + z1\*z2
+
+
+
+## 继续这道题
+
+## 四元数又是什么?
+
+![1699200693103](图片/1699200693103.png)