(3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= V (x – y, x – y). (a) Find dist(r, -y). (b) Show that when dist(x, y) = dist(x, -y), then x and y are orthog- onal. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 10E
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(3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= /(x – y, x – y).
(a) Find dist(x, –y).
(b) Show that when dist(x, y) = dist(x, -y), then x and y are orthog-
%3D
onal.
Transcribed Image Text:(3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= /(x – y, x – y). (a) Find dist(x, –y). (b) Show that when dist(x, y) = dist(x, -y), then x and y are orthog- %3D onal.
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