Distance in 2D Space
Consider points (10, 5) and (4, 30) exist in a two-dimensional space. What is the distance between the two points?
Expand Hint
In a two-dimensional space, the distance between two points is
$$$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$$
Hint 2
Since the difference between coordinates is squared, it doesn’t matter if Point 1 is assigned
$$(x_1, y_1)$$
or
$$(x_2, y_2)$$
as long as Point 2 is assigned as the other set.
In a two-dimensional space, the distance between two points is
$$$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$$
Since the difference between coordinates is squared, it doesn’t matter if Point 1 is assigned
$$(x_1, y_1)$$
or
$$(x_2, y_2)$$
as long as Point 2 is assigned as the other set. Let’s arbitrarily set
$$(10, 5)$$
as
$$(x_1, y_1)$$
:
$$$d=\sqrt{(4-10)^2+(30-5)^2}$$$
$$$=\sqrt{(-6)^2+(25)^2}=\sqrt{36+625}=\sqrt{661}=25.7$$$
25.7
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