Parry Cole
10/14/2023 · High School

Consider the line through the points (−4, −6, 1) and (−2, 0, −3). Write a direction vector v1 for this line. v1 = Consider the line through the points (12, 23, 6) and (7, 8, 16). Write a direction vector v2 for this line. v2 = Are v1 and v2 parallel? Yes No Is the line through (−4, −6, 1) and (−2, 0, −3) parallel to the line through (12, 23, 6) and (7, 8, 16)? Yes

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

v1 = <2, 6, -4> v2 = <-5, -15, 10> To determine if v1 and v2 are parallel, we can check if one is a scalar multiple of the other. In this case, v2 = -2.5v1, so they are parallel. Therefore, the line through (-4, -6, 1) and (-2, 0, -3) is parallel to the line through (12, 23, 6) and (7, 8, 16).

Quick Answer

Parallel
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions