(a) Find a parametric equation for the line through the point (1,6,2) and in the direction of ai + bj+ck. r(t) = idk (b) Find conditions on a, b, c so that the line you found in part (a) goes through the origin. (Be sure you can give a reason for your answer.) Then use your work to give two distinct triples a, b, c that result in the line passing through the origin. Choice 1: a = 1 , b = 6 , C = 2 Choice 2: a = −1 , b = = -6 , C= -2
(a) Find a parametric equation for the line through the point (1,6,2) and in the direction of ai + bj+ck. r(t) = idk (b) Find conditions on a, b, c so that the line you found in part (a) goes through the origin. (Be sure you can give a reason for your answer.) Then use your work to give two distinct triples a, b, c that result in the line passing through the origin. Choice 1: a = 1 , b = 6 , C = 2 Choice 2: a = −1 , b = = -6 , C= -2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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