I didn't pretend that I know the answer.
Here is my solution to the problem I posted.
To letter (a). A\cdot B = 2t^{3} + 6t^{2} - 6t
Taking its integral with respect to t from 0 to 2 will give an answer of 12.
To letter (b). A\times B = -6t^{3}i + [2t^{2} (t -1) - 6t^{2}]j - 2t^{4}k...
Homework Statement
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.
Homework Equations
The Attempt at a Solution
Help me please because I don't know how to solve this problem. Thanks!
Looking...
Homework Statement
\int_{S}\int n dS = 0 for any closed surface S.
Homework Equations
The Attempt at a Solution
I can't solve this because I don't have any idea in Vector intregrals.