# Thread: Euclidean distance between points

1. ## Euclidean distance between points

Hi, I'm not sure what to do for euclidean distance. Any help is appreciated

Find the Euclidean distance between the points (1,2) and (3,3) in R2. (You
may leave your answer in terms of a square root.

Find the set of convex combinations of the points (1,2) and (3,3).

Graph and describe the convex combinations. (You don't need to hand in
the graph, but the description should be as complete as possible.

Find the convex combination when = 1/2.

2. Did you bother to look it up?
Euclidean_distance

3. ## distances

I'm not sure about the convex stuff, but I am sure about the euclidean distance. Since any point is defined by ist x and y distance from the origin, it forms a triangle. When you have to points, you can draw a line between them as the hypoteneus of a right triangle who's sides are parralle to the respective axi . So in your case we have $\displaystyle Distance = sqrt( (1-3)^2 + (2-3)^2 ) = sqrt( 5 ) = 2.2360679774998.....$