Consider an electron m moving along the line L: (x-3)/2=(y+1)/(-2)=z-1. At L As shown in figure. (A) Write the equation of the electron's path in the form r = r, + At. (B) Find the distance of closest approach of the electron to the origin (that is, the distance from the origin to the line). (C) Ift represents time, show that the time of closest approach is t= -(r. A)|A².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Consider an electron m moving along the line L: (x-3)/2 = (y + 1)/(-2)=z-1.
M
ra
Po
At
P
L
As shown in figure.
(A) Write the equation of the electron's path in the form r=r, + At.
(B) Find the distance of closest approach of the electron to the origin
(that is, the distance from the origin to the line).
(C) Ift represents time, show that the time of closest approach is t= -(r, A)/A2.
Use this value to check your answer for the distance of closest approach in part (B).
(D) If P is the point of closest approach, what is A-r?
Transcribed Image Text:Consider an electron m moving along the line L: (x-3)/2 = (y + 1)/(-2)=z-1. M ra Po At P L As shown in figure. (A) Write the equation of the electron's path in the form r=r, + At. (B) Find the distance of closest approach of the electron to the origin (that is, the distance from the origin to the line). (C) Ift represents time, show that the time of closest approach is t= -(r, A)/A2. Use this value to check your answer for the distance of closest approach in part (B). (D) If P is the point of closest approach, what is A-r?
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