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 |