47. Determine the vector and parametric equations for the line passing through the points P(-1,-3) and Q(3,5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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47. Determine the vector and parametric equations for the line passing through the points P(-1,-3) and Q(3,5).
7= (3,5) +s(1,2), s e R
c. 7 (1,0) +s(2,4), s e R
%3D
a.
%3D
x = 21 – 1, y = 4t – 3, t e R
x = 1- 1, y = 21 - 3, t e R
b. 7= (1,-3) +s(4,8), s e R
x = 41 – 1, y = 8t– 3, t e R
d. all of the above
%3D
48. Determine the point of intersection of the lines L,: r = (1,3,7) +s(1,2,-2), s e R and L,:
v = (0,2,-3) +(1,1,4), t e R.
P(1,3,1)
b. P(1,3,7)
с.
The lines coincide.
a.
d.
no point of intersection
3.
Transcribed Image Text:47. Determine the vector and parametric equations for the line passing through the points P(-1,-3) and Q(3,5). 7= (3,5) +s(1,2), s e R c. 7 (1,0) +s(2,4), s e R %3D a. %3D x = 21 – 1, y = 4t – 3, t e R x = 1- 1, y = 21 - 3, t e R b. 7= (1,-3) +s(4,8), s e R x = 41 – 1, y = 8t– 3, t e R d. all of the above %3D 48. Determine the point of intersection of the lines L,: r = (1,3,7) +s(1,2,-2), s e R and L,: v = (0,2,-3) +(1,1,4), t e R. P(1,3,1) b. P(1,3,7) с. The lines coincide. a. d. no point of intersection 3.
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Swokowski
Publisher:
Cengage