Question 2 (a) Let S1 be the plane which contain lines L, and L2 whose parametric equations are given by: L:x =1+2t y = 2-t z = 4– 2t L2:x=9+s , y=5+3s z =-4 -s (i) Calculate the point of intersection, P, of these two lines. (ii) Find parametric equations for the line that is perpendicular to plane S and passes through point P.

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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Question 2
(a) Let S, be the plane which contain lines L, and L2 whose parametric equations are given by:
L :x=1+2t ,
y = 2-t
z = 4– 2t
L2:x=9+s
y = 5+3s , z =-4-s
(i)
Calculate the point of intersection, P, of these two lines.
(ii) Find parametric equations for the line that is perpendicular to plane S and passes
through point P.
Transcribed Image Text:Question 2 (a) Let S, be the plane which contain lines L, and L2 whose parametric equations are given by: L :x=1+2t , y = 2-t z = 4– 2t L2:x=9+s y = 5+3s , z =-4-s (i) Calculate the point of intersection, P, of these two lines. (ii) Find parametric equations for the line that is perpendicular to plane S and passes through point P.
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