• Support PF! Buy your school textbooks, materials and every day products Here!

Vectors - shortest distance

  • Thread starter nokia8650
  • Start date
  • #1
219
0
Say you have two vectors: a and b.

Is the shortest distance between these two vectors when a line perpendicular to a meets vector b, or when a line perpendicular to vector b meets vector a?

Thanks
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
249
Say you have two vectors: a and b.

Is the shortest distance between these two vectors when a line perpendicular to a meets vector b, or when a line perpendicular to vector b meets vector a?

Thanks
Hi nokia8650! :smile:

The length of one line is a.cosθ, and of the other is b.cosθ.

But those are the distances between one line and the other endpoint.

There is no such thing as the distance between two vectors … only between their endpoints.
 

Related Threads for: Vectors - shortest distance

Replies
8
Views
5K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
10
Views
4K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
0
Views
3K
  • Last Post
Replies
8
Views
5K
  • Last Post
Replies
6
Views
6K
Replies
6
Views
1K
Top