(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

x,y, z are vectors in R^n. We have the equation:

ax +by +cz, where a,b,c are constants such that a+b+c=1, and a,b,c>=0

What is the geometric interpretation of the equation?

2. Relevant equations

sv + tu, where u,v are vectors in R^n and s,t are constants such that s+t=1, s,t>=0 geometrically represents a line between u,v.

3. The attempt at a solution

So by similar logic, would ax +by +cz be a line through x,y,z?

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# Geometric interpretation of an equation

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