The points A and B have coordinates (1, – 1, 2) and (3, 1, 1) respectively. Find a vector equation for the line 4 passing through A and B. The point C has coordinates (3, - 16,3). Find (i) the foot of perpendicular from C to 1, (ii) the shortest distance from C to 1. The line 1, passes through the points A and C and the line l, is the reflection of l, in , . Find a vector equation of l,.

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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The points A and B have coordinates (1, – 1, 2) and (3, 1, 1) respectively. Find a vector
equation for the line , passing through A and B. The point C has coordinates (3, -16,3).
Find
(i) the foot of perpendicular from C to 1,
(ii) the shortest distance from C to 1.
The line 1, passes through the points A and C and the line 1, is the reflection of l, in 1 .
Find a vector equation of l,.
Transcribed Image Text:The points A and B have coordinates (1, – 1, 2) and (3, 1, 1) respectively. Find a vector equation for the line , passing through A and B. The point C has coordinates (3, -16,3). Find (i) the foot of perpendicular from C to 1, (ii) the shortest distance from C to 1. The line 1, passes through the points A and C and the line 1, is the reflection of l, in 1 . Find a vector equation of l,.
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