Question

Construct a geometric figure that illustrates why a line in R^2 not through the origin is not closed under vector addition.

Answer 1

@UsukiDoll

Answer 2

What do you know Usuki?

Answer 3

@eliassaab

Answer 4

I don't really understand when it says closed.

Answer 5

Meaning the vector doesn't go beyond the parabola

Answer 6

Take the line y=x+ 5\\
The tip of the vector {1,6} is on it.
The tip of the vector {2,7} is on it.
bur
(1,6) + (2,7) = (3,13} is not on it