Question

Formula to find distance between two points in 3d

Answer 1

By using the the Pythagorean theorem twice, you can show that d((0,0,0),(1,2,3))  √(√1²+2²)²+3²  = √1²+2²+3²

In general, if you have two points (x1,…,xn)(x1,…,xn) and (y1,…,yn)(y1,…,yn) in RnRn, you can use the Pythagorean theorem n−1n−1 times to show that the distance between them is

√∑(till n  and i=1) (xi-yi)²