this post was submitted on 08 Sep 2024
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I don't understand
Its easy to think about vectors in the first sense (as anything with direction and magnitude) when we're working with classical units (space, force, electric fields, etc)
But it becomes a nightmare to understand intuitively when the vector is defined as something with magnitude and direction when speaking about units that are not obvious to us humans (like time)
Thanks, but damn... I don't even understand your explanation. 😥 I work with vectors in Blender, so I have an intuitive understanding of them as per your first definition. But how are they less intuitive when talking about time? I don't get how this meme is structured
Check CompassRed's comment above.
The definition part of the wikipedia article has a table with these "nice relationships for addition and scaling". You will see that they also hold for many kinds of functions, such as polynomials and other more abstract things than points and directions in 2D or 3D. N-dimensional vectors for example, or using complex numbers, or both.
https://en.wikipedia.org/wiki/Vector_space