Consider the line L(t)= <-3,-5t,-1-t> in R^2. Then : (check image for reference) L is Parallel/Perpendicular/Neither to the line < 4t-3,-4-2t> L is Parallel/Perpendicular/Neither to the line <3-3t,15t-5> L is Parallel/Perpendicular/Neither to the line <5t-3,4+5t> L is Parallel/Perpendicular/Neither to the line <4+2t, -10t>
Consider the line L(t)= <-3,-5t,-1-t> in R^2. Then : (check image for reference) L is Parallel/Perpendicular/Neither to the line < 4t-3,-4-2t> L is Parallel/Perpendicular/Neither to the line <3-3t,15t-5> L is Parallel/Perpendicular/Neither to the line <5t-3,4+5t> L is Parallel/Perpendicular/Neither to the line <4+2t, -10t>
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Q1) Consider the line L(t)= <-3,-5t,-1-t> in R^2. Then : (check image for reference)
L is Parallel/Perpendicular/Neither to the line < 4t-3,-4-2t>
L is Parallel/Perpendicular/Neither to the line <3-3t,15t-5>
L is Parallel/Perpendicular/Neither to the line <5t-3,4+5t>
L is Parallel/Perpendicular/Neither to the line <4+2t, -10t>
Transcribed Image Text:Consider the line L(t) = (−3 – 5t, −1 – t) in R². Then:
Lis ?
Lis
Lis
Lis
?
?
?
to the line (4t-3, -4 — 2t)
✓to the line (3 - 3t, 15t – 5)
✓to the line (5t − 3, 4 + 5t)
to the line (4 + 2t, -10t)
Expert Solution
Step 1
The parametric form of a line passing through and parallel to the direction vector is given by the equation;
where t is a scalar that is called a parameter.
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