Find the vector parametric equations of the two straight lines tangent to the given space curve

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 33EQ
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Question
Find the vector parametric equations of the two straight lines tangent to the given space curve
and which pass through the point P(-3, - 22, - 7) (not on the curve).
r(t) = (21 +3) i+ (15t-7) (4 +5)k
!3!
"(s:) = (-3,-22, -7) +s, (4)
(Type integers or simplified fractions.)
Let s, be a real number parameter. Give the parameterized vector equation
of the second tangent line.
"() --52+(-12D
(Type integers or simplified fractions.)
()
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Transcribed Image Text:Find the vector parametric equations of the two straight lines tangent to the given space curve and which pass through the point P(-3, - 22, - 7) (not on the curve). r(t) = (21 +3) i+ (15t-7) (4 +5)k !3! "(s:) = (-3,-22, -7) +s, (4) (Type integers or simplified fractions.) Let s, be a real number parameter. Give the parameterized vector equation of the second tangent line. "() --52+(-12D (Type integers or simplified fractions.) () More
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