1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on the hypotenuse such that the dot product AD BC = 0. Show that the point D is given by |AB||? |AC||? D = B+ ||AB||2 + || AC||? |AB||? + || AC||?°

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D
be the point on the hypotenuse such that the dot product AD BC = 0. Show that
the point D is given by
||AB||?
|| AC||?
D:
||AB||? + || AC||2
B+
|| AB||2 + || AC'||2°
Transcribed Image Text:1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on the hypotenuse such that the dot product AD BC = 0. Show that the point D is given by ||AB||? || AC||? D: ||AB||? + || AC||2 B+ || AB||2 + || AC'||2°
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