Suppose that AB is the diameter of a circle with center O and that C is a point on one of the two arcs joining A and B. Show that CAand CBare orthogonal. Circle centered at O passes through the points A, B and C. Points A, O and B are along the horizontal diameter of the circle. The point C is up and to the left of center. Three vectors extend from point O. The vector u terminates at point B. The vector negative u terminates at point A. The vector v terminates at point C. Choose the correct steps below for showing that CA and CB are orthogonal.
Suppose that AB is the diameter of a circle with center O and that C is a point on one of the two arcs joining A and B. Show that CAand CBare orthogonal. Circle centered at O passes through the points A, B and C. Points A, O and B are along the horizontal diameter of the circle. The point C is up and to the left of center. Three vectors extend from point O. The vector u terminates at point B. The vector negative u terminates at point A. The vector v terminates at point C. Choose the correct steps below for showing that CA and CB are orthogonal.
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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Suppose that AB is the diameter of a circle with center O and that C is a point on one of the two arcs joining A and B. Show that CAand CBare orthogonal.
Circle centered at O passes through the points A, B and C. Points A, O and B are along the horizontal diameter of the circle. The point C is up and to the left of center. Three vectors extend from point O. The vector u terminates at point B. The vector negative u terminates at point A. The vector v terminates at point C.
Choose the correct steps below for showing that CA and CB are orthogonal.
Transcribed Image Text:B
n O n-
A
Transcribed Image Text:O A.
CA=(---)
CB=(x-x-₂)
CA-CB=-²+²
-1²-1²
O B.
CA=(---)
CB=(x-xy)
CA-CB=-²+²
aucos ¹(0)-u+usin (x/2)
=O
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