1. A line L passes throught point (2,-1,5) that is parallel to line given by l(t) = (t, −1+t, 2). (a). Find the equation of the line L (either in the form of parametric equations or in the form of a vector equation will work). (b). Find the coordinates of the intersection of the line L and the xz-plane.
1. A line L passes throught point (2,-1,5) that is parallel to line given by l(t) = (t, −1+t, 2). (a). Find the equation of the line L (either in the form of parametric equations or in the form of a vector equation will work). (b). Find the coordinates of the intersection of the line L and the xz-plane.
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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Transcribed Image Text:1. A line \( L \) passes through point \( (2, -1, 5) \) that is parallel to the line given by \( \vec{l}(t) = \langle t, -1 + t, 2 \rangle \).
(a) Find the equation of the line \( L \) (either in the form of parametric equations or in the form of a vector equation will work).
(b) Find the coordinates of the intersection of the line \( L \) and the \( xz \)-plane.
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