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) | ||
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All UNM-PNM Problems and Solutions |