# Vector Integration

1. Mar 13, 2010

### yusukered07

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) $$\int^{2}_{0}A \cdot B dt,$$ (b) $$\int^{2}_{0}A \times B dt.$$

2. Relevant equations

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

2. Mar 13, 2010

### Dustinsfl

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. Mar 13, 2010