8. Determinants and lines Show that the lines x = a¡s + bj, y= a,s + bz, z = a3s + b3, -∞ < s < ∞ and x = ct + dị, y = c,t + dz, z = czt + dz, -00

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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8. Determinants and lines Show that the lines
x = a¡s + bj, y= a,s + bz, z = a3s + b3, -∞ < s < ∞
and
x = ct + dị, y = c,t + dz, z = czt + dz,
-00 <t < ∞,
intersect or are parallel if and only if
bị – di
C2 b, – dz = 0.
bz – dz
C1
аз
C3
Transcribed Image Text:8. Determinants and lines Show that the lines x = a¡s + bj, y= a,s + bz, z = a3s + b3, -∞ < s < ∞ and x = ct + dị, y = c,t + dz, z = czt + dz, -00 <t < ∞, intersect or are parallel if and only if bị – di C2 b, – dz = 0. bz – dz C1 аз C3
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