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

Prove the Following Vector Identities Part 1

  • Thread starter bugatti79
  • Start date
715
1
What you wrote it correct.
So I just evaulate this, tidy it up and show that it equals the RHS of question?

Cheers
 

I like Serena

Homework Helper
6,553
176
Uhh... what you have is the RHS of the question.

What you need to do is take the LHS of the question, evaluate it, and show that it is equal to what you just wrote (aka the RHS of the question).
 
715
1
Uhh... what you have is the RHS of the question.

What you need to do is take the LHS of the question, evaluate it, and show that it is equal to what you just wrote (aka the RHS of the question).
Hmm...How would you evaluate the LHS? I thought the RHS matrix could be simplified further to arrive at something that resembles the LHS :-)
 
32,716
4,459
The left side is the derivative of the cross product u(t) X v(t). Calculate the cross product, and then take the derivative. If that turns out to be equal to what you have in post #24, you have shown that d/dt(u(t) X v(t)) = u'(t) X v(t) + u(t) X v'(t).
 
715
1
The left side is the derivative of the cross product u(t) X v(t). Calculate the cross product, and then take the derivative. If that turns out to be equal to what you have in post #24, you have shown that d/dt(u(t) X v(t)) = u'(t) X v(t) + u(t) X v'(t).
Thank you Mark and I.L.S
 

Related Threads for: Prove the Following Vector Identities Part 1

Replies
12
Views
2K
Replies
3
Views
846
Replies
2
Views
1K
  • Posted
Replies
1
Views
4K
  • Posted
Replies
2
Views
2K
  • Posted
Replies
6
Views
751
Replies
11
Views
2K
Replies
23
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top