- #1
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If A(t) = t i - t^{2} j + (t - 1) k and B(t) = 2t^{2} i + 6t k, evaluate (a) [tex]\int^{2}_{0}A \cdot B dt,[/tex] (b) [tex]\int^{2}_{0}A \times B dt.[/tex]
The solution I've made is not complicated.Doesn't sound too complicated, just plug in A and B, work out the vector products and do the integration using
[tex]\int a t^n \, dt = \frac{a}{n + 1} t^{n + 1}[/tex]
What do you mean "the solution I've made"? You did not show any work or solution at all. What, exactly, are you asking?The solution I've made is not complicated.
You try first to evaluate the vectors and then take the integral of them.
I evaluate the values of [tex]A\cdot B[/tex] and [tex]A\times B[/tex] first. Then integrate the both with respect to their limits.What do you mean "the solution I've made"? You did not show any work or solution at all. What, exactly, are you asking?
I didn't pretend that I know the answer.I think he asks us to evaluate the integrals.
I just did it.