Fundraise on MathsGee
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

0 like 0 dislike
145 views
What is the difference between collinear vectors and parallel vectors?
in Mathematics by Platinum (130,566 points) | 145 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 (130,566 points)

Related questions

0 like 0 dislike
1 answer
asked Jan 26 in Mathematics by MathsGee Platinum (130,566 points) | 99 views
0 like 0 dislike
1 answer
asked Jan 26 in Mathematics by MathsGee Platinum (130,566 points) | 88 views
0 like 0 dislike
0 answers
0 like 0 dislike
1 answer
0 like 0 dislike
0 answers
0 like 0 dislike
1 answer
0 like 0 dislike
2 answers
0 like 0 dislike
1 answer
1 like 0 dislike
1 answer
0 like 0 dislike
0 answers
0 like 0 dislike
0 answers
0 like 0 dislike
0 answers

Join the MathsGee Learning Club where you get study and financial support for success from our community. CONNECT - LEARN - FUNDRAISE


On the MathsGee Learning Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Start a Fundraiser


5. Tip your favourite community member(s)


6. Create Live Video Tutorials (Paid/Free)


7. Join Live Video Tutorials (Paid/Free)


8. Earn points for participating



Posting on the MathsGee Learning Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




CLUB RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


MathsGee Android Q&A