The **Norm** (`||v||`) is the length or magnitude of a vector. Ex: For `v=[3,4]`, `||v|| = sqrt(3^2 + 4^2) = 5`. Pro-Tip: Essential for calculating distances & normalizing vectors to unit length!
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Alright, future engineers!
A **Linear Combination** is a new vector made by scaling existing vectors & adding them. Ex: `2*[1,0] + 3*[0,1] = [2,3]`. Pro-Tip: It's the fundamental way to build new vectors within a given space!
Alright, let's nail this Linear Algebra concept!
Dot product measures how much two vectors 'agree' on direction. Ex: For v=[v1,v2], w=[w1,w2], v.w = v1w1 + v2w2. Pro-Tip: If v.w = 0, they're orthogonal! Crucial for projections & bases.
#APLQuest 2014-08: Write a function that returns the distance between two points in a space of any number of dimensions (see https://apl.quest/2014/8/ to test your solution and view ours).
#!00DaysOfCode day 16:
More #vectorMath and more acceleration for vectors, but still a laugh. Can make me happy for a few hours to something "stupid" on the computer :)
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