==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving'
# Excalidraw Data
## Text Elements
Orthogonality
Saying two vectors are orthogonal is a
generalization of “perpendicular lines” into
higher dimensions. The condition “dot product =
0” effectively says: “No component of one
vector is in the direction of the other.” ^rCpqaqH4
- Two vectors u and v in ℝ3 are called
orthogonal (or perpendicular) if their dot product is
zero, i.e.
u⋅v = 0.
- Conceptually, “orthogonal” means they meet at
a 90° angle. The dot product being zero
encapsulates the idea that there is no component
of one vector in the direction of the other. ^K9zl8nuq
## Embedded Files
cee173359d1a9f7df8f327c58dfdc8ee7e8422d5: [[Pasted Image 20250324161713_089.png]]
%%
## Drawing
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```
%%