# Euclidean distance between points

• Jun 6th 2010, 10:13 AM
ihatemath09
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

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.
• Jun 6th 2010, 10:32 AM
Plato
Did you bother to look it up?
Euclidean_distance
• Jun 6th 2010, 11:21 AM
mfetch22
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.....\$