2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10
Problem
Let 
and 
be points in the Cartesian plane each a distance 
from the origin 
. We define addition of points in the plane componentwise (If 
and 
, then 
. Show that 
if and only if and are the vertices of a rectangle.
Solution
See also
| 2018 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNM-PNM Problems and Solutions | ||
