Consider the line L(t)=⟨−2−5t,2−2t⟩L(t)=⟨−2−5t,2−2t⟩. Then:     L is           to the line ⟨1−7.5t,2−3t⟩⟨1−7.5t,2−3t⟩       L is           to the line ⟨t,1−2t⟩⟨t,1−2t⟩       L is           to the line ⟨−3−6t,3+15t⟩⟨−3−6t,3+15t⟩       L is           to the line ⟨5t−3,2t−2⟩⟨5t−3,2t−2⟩   Answer options are Perpendicular parlell or neither

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Consider the line L(t)=⟨−2−5t,2−2t⟩L(t)=⟨−2−5t,2−2t⟩. Then:

 

  L is           to the line ⟨1−7.5t,2−3t⟩⟨1−7.5t,2−3t⟩

 

 
  L is           to the line ⟨t,1−2t⟩⟨t,1−2t⟩

 

 
  L is           to the line ⟨−3−6t,3+15t⟩⟨−3−6t,3+15t⟩

 

 
  L is           to the line ⟨5t−3,2t−2⟩⟨5t−3,2t−2⟩

 

Answer options are Perpendicular parlell or neither

Expert Solution
Step 1

Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

What is Parametric Equation:

Equation of this sort, known as a parametric equation, uses an independent variable, known as a parameter, and dependent variables, which are continuous functions of the parameter and independent of other variables, are defined. When necessary, more than one parameter can be used.

Given:

Given line is Lt=-2-5t,2-2t.

To Determine:

We determine whether this line is perpendicular, parallel or skewed to the given lines. 

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,