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Vector Integration

  • #1

Homework Statement



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]

Homework Equations





The Attempt at a Solution


Help me please because I don't know how to solve this problem. Thanks!!!

Looking forward to your responses.
 

Answers and Replies

  • #2
699
5
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
 
  • #3
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
Thanks!!! I've got the answer..:smile:
 

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