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?
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.
The Attempt at a Solution
So by similar logic, would ax +by +cz be a line through x,y,z?