Vector triple product problem

  • #1
3
0
The problem:
By considering w x (p x w) resolve vector p into a component parallel to a given vector w and a component perpendicular to a given vector w.

Hint: a x (b x c) = b(a x c) - c(a x b)


I'm afraid I really have no idea where to go with this one. The hint leads to: p(w.w) - w(w.p) = |w^2|p - |w||p|cosΘ w
 

Answers and Replies

  • #2
954
117
Hint 1: How is the term ##|w|^2 \vec{p}## related to the vector ##\vec{p}##?
Hint 2: How is ##\vec{w}\times (\vec{p} \times \vec{w})## related to the vector ##\vec{w}##? For instance, is it parallel or it is perpendicular to ##\vec{w}##?
 
  • Like
Likes BobJimbo
  • #3
3
0
Agh, so simple. Thanks! (For the solution and for how to write vectors)
 

Related Threads on Vector triple product problem

  • Last Post
Replies
3
Views
17K
Replies
14
Views
21K
  • Last Post
Replies
1
Views
1K
Replies
1
Views
532
Replies
8
Views
1K
Replies
1
Views
1K
  • Last Post
Replies
2
Views
6K
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
3
Views
2K
Replies
0
Views
4K
Top