Consider the following parametric equations for a line L₁. x = 6 - 3t, y = -4 + 4t, Z = 6 + 8t Find the direction vector for the line L₁. = Find the point on line 4₁ where x = 6. P₁ = (x, y, z)= = Consider the following parametric equations for a line L₂. X = 6t, y = 4 - 8t, z = 22 16t Find the direction vector for the line L2. P2 = Find the point on line L₂ where x = 6. D Does there exists a constant c such that v₂ = CV 1. (x, y, z) = Yes No Determine whether the lines L₁ and L₂ are parallel or identical. 1 The lines are parallel. The lines are identical.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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Question
Consider the following parametric equations for a line L₁.
x = 6 - 3t, y = -4 + 4t, Z = 6 + 8t
Find the direction vector for the line L₁.
=
Find the point on line 4₁ where x = 6.
P₁
=
(x, y, z)=
=
Consider the following parametric equations for a line L₂.
X = 6t, y = 4 - 8t, z = 22 16t
Find the direction vector for the line L2.
P2
=
Find the point on line L₂ where x = 6.
D
Does there exists a constant c such that v₂ = CV 1.
(x, y, z) =
Yes
No
Determine whether the lines L₁ and L₂ are parallel or identical.
1
The lines are parallel.
The lines are identical.
Transcribed Image Text:Consider the following parametric equations for a line L₁. x = 6 - 3t, y = -4 + 4t, Z = 6 + 8t Find the direction vector for the line L₁. = Find the point on line 4₁ where x = 6. P₁ = (x, y, z)= = Consider the following parametric equations for a line L₂. X = 6t, y = 4 - 8t, z = 22 16t Find the direction vector for the line L2. P2 = Find the point on line L₂ where x = 6. D Does there exists a constant c such that v₂ = CV 1. (x, y, z) = Yes No Determine whether the lines L₁ and L₂ are parallel or identical. 1 The lines are parallel. The lines are identical.
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