Hmmm... so I got sqrt(2) by applying pythagorean th. If my point is 1,0 and I drop the perpendicular from the line x equals y, then the sides of my triangle will be of length 1 and 1. Putting this into pyth eqn I get 1 plus 1 equals c squared. Solving I get c is equal to sqrt2. (sorry for the...
Dick,
Thanks for your reply.
I didn't realize I could be thinking about this on the x,y plane, duh. So the boundary line in other words is the line that goes through the origin aka the line y=x. So if I use x=1 and y=0 I get my r to be sqrt(2)? So then is it that r= sqrt(x1+x2)?
Thanks for your reply.
I know what you're saying about using the given set, I just didn't want to put it in yet so as not to confuse people lol. But here goes.
I know that d(p,q)= sqrt[ (x1-y1)^2 + (x2-y2)^2], given that p= (x1, y1) and q=(x2,y2).
So if I draw a ball around Po (the...
Homework Statement
Show that the subset of E^2 given by { (x1,x2) belonging to E^2 : x1>x2} is open.
Homework Equations
d(x,y)= sqrt[ (x1-y1)^2 +(x2-y2)^2 ]
The Attempt at a Solution
Ok so I would like someone to tell me if I'm on the right track or if I'm way off.
So to...
Hi everyone,
Was hoping I could get some help with the following:
Note= ~ indicates the complement of
Prove that:
~Au~B= ~(AnB)
So far I have: Let x belong to ~Au~b then x belongs to ~A or x belongs to ~B.
If x belongs to ~A then x is not in A thus x is not in ~AnB so x belongs to...
Hi all, I have a general question.
When calculating the area of a triangle in 3 space, one applies the formula
1/2||axb||. Given three vertices, a,b,c...does it matter which vectors we choose to use (ab, bc, ac) as our a b vectors?
Thanks!