Question

In the figure a pair of ~~arbitrary" points A = (a1, a2) and B = (b1, b2 ) is given. What are the coordinates of the point C?
Write an expression for the length of AC in terms of the coordinates of A and C. Write an expression for the length of BC in terms of the coordinates of B and C

Answer 1

\[
d_{nE}(A,B) = |a_1 - b_1| + |a_2-b_2| \\
d_E (A, B) = \sqrt{(a_1-b_1)^2+(a_2-b_2)^2} \\
where: \\
nE:~ is~a~non-Eucledian~approach \\
T: ~ is~aEucledian~approach
\]

Answer 2

i'm not getting what you are asking here

Answer 3

those two formulas measure two different things: the first is the Manhattan distance, the second is the Euclidean distance

Answer 4

Equations are not same:

\(|a| = \sqrt{a^2}\)

So \(|a_1-b_1|+|a_2-b_2| = \sqrt{(a_1-b_1)^2}+\sqrt{(a_2-b_2)^2}\neq\sqrt{(a_1-b_1)^2+(a_2-b_2)^2}\)

Answer 5

That helps?

Answer 6

lol huh, you just changed whole question....