1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector Integration

  1. Mar 13, 2010 #1
    1. The problem statement, all variables and given/known data

    If A(t) = t i - t2 j + (t - 1) k and B(t) = 2t2 i + 6t k, evaluate (a) [tex]\int^{2}_{0}A \cdot B dt,[/tex] (b) [tex]\int^{2}_{0}A \times B dt.[/tex]

    2. Relevant equations

    3. The attempt at a solution
    Help me please because I don't know how to solve this problem. Thanks!!!

    Looking forward to your responses.
  2. jcsd
  3. Mar 13, 2010 #2
    Take the dot product for the first and then integrate and take the cross product for the second. Dot product remember is Ai*Bi + Aj*Bj + Ak*Bk. For cross product, set up a matrix with i j k in row one followed by the i j k of a in row 2 and i j k of b in row 3
  4. Mar 13, 2010 #3
    Thanks!!! I've got the answer..:smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Vector Integration
  1. Vector integrals (Replies: 6)

  2. Integration of vectors (Replies: 9)

  3. Vector integration (Replies: 7)

  4. Vector Integral (Replies: 6)