二维向量

有大小和方向的箭头

向量既有大小也有方向\vec{v} = (3, 4) 意思是"向右3向上4"。

可以首尾相接加向量点积告诉你两个向量的同向程度——垂直时为零。

什么是向量?
向量既有大小也有方向。
怎么求大小?
|\vec{v}| = \sqrt{x^2 + y^2}
向量加法?
分量相加:(a₁+b₁, a₂+b₂)。
点积?
\vec{a} \cdot \vec{b} = a_1 b_1 + a_2 b_2。等于0时垂直。
What can it graph?
It can plot explicit, implicit, and parametric functions, add points and geometry, and animate sliders on the same graph.
Can I use voice or a photo?
Yes. You can talk to the tutor, upload a worksheet or handwritten problem, and let the graph update from that input.
Will it explain the steps?
Yes. The AI explains what it is drawing and why, so you see the answer on the graph instead of getting only a final number.