ask questions - get instant answers - receive/send p2p payments - get tips - get points - get fundraising support - meet community tutors
First time here? Checkout the FAQs!
0 like 0 dislike
What are parallel and collinear vectors?
in Mathematics by Platinum (108k points) | 347 views

1 Answer

0 like 0 dislike
Best answer

Suppose that $\mathbf{v}$ and $\mathbf{w}$ are vectors in 2 -space or 3 -space with a common initial point. If one of the vectors is a scalar multiple of the other, then the vectors lie on a common line, so it is reasonable to say that they are collinear.

However, if we translate one of the vectors, then the vectors are parallel but no longer collinear. This creates a linguistic problem because translating a vector does not change it.

The only way to resolve this problem is to agree that the terms parallel and collinear mean the same thing when applied to vectors. Although the vector $\mathbf{0}$ has no clearly defined direction, we will regard it as parallel to all vectors when convenient.


by Platinum (108k points)

Related questions

0 like 0 dislike
1 answer
asked Jan 26, 2022 in Mathematics by MathsGee Platinum (108k points) | 316 views
0 like 0 dislike
1 answer
0 like 0 dislike
0 answers
1 like 0 dislike
1 answer
0 like 1 dislike
1 answer
asked Mar 29, 2021 in General Knowledge by Eddie Wooden Status (1.1k points) | 456 views
2 like 0 dislike
1 answer
asked Jun 9, 2022 in General Knowledge by MathsGee Platinum (108k points) | 381 views
0 like 0 dislike
1 answer

Join MathsGee for AI-powered Q&A, tutor insights, P2P payments, interactive education, live lessons, and a rewarding community experience.

On MathsGee, you can:

1. Ask Questions on Various Topics

2. Request a Tutor

3. Start a Fundraiser

4. Become a Tutor

5. Create Tutor Session - For Verified Tutors

6. Host Tutor Session - For Verified Tutors

7. Join Tutor Session

8. Enjoy our interactive learning resources

9. Get tutor-verified answers

10. Vote on questions and answers

11. Tip/Donate your favorite community members

12. Earn points by participating

Posting on the MathsGee

1. Remember the human

2. Act like you would in real life

3. Find original source of content

4. Check for duplicates before publishing

5. Read the community guidelines

MathsGee Rules

1. Answers to questions will be posted immediately

2. Questions will be queued for posting immediately after moderation

3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.

MyLinks On Acalytica | Social Proof Widgets | Web Analytics | SEO Reports | Learn | Uptime Monitoring