The point A has position vector i+5k and the line l1 has vector equation r=7i+4j–2k+ a(5i+3j+k). (a) Find the equation of the line l2 that passes through A and is perpendicular to l1 b) Find the distance between A and the point B where the lines l1 and l2 intersect.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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The point A has position vector i+5k and the line l1 has vector equation
r= 7i+4j-2k+A(5i+3j+k).
(a) Find the equation of the line l2 that passes through A and is perpendicular to l1.
(b) Find the distance between A and the point B where the lines l, and l, intersect.
Transcribed Image Text:The point A has position vector i+5k and the line l1 has vector equation r= 7i+4j-2k+A(5i+3j+k). (a) Find the equation of the line l2 that passes through A and is perpendicular to l1. (b) Find the distance between A and the point B where the lines l, and l, intersect.
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