Problem

Label as true or false and explain why. If $\math…

12:30

Problem 46 Hard Difficulty

Prove Theorem $2.3,$ part $(v)$.

Answer

$\frac{d}{d t}[\mathbf{r}(t) \times \mathbf{s}(t)]=\mathbf{r}^{\prime}(t)(t) \times \mathbf{s}(t)+\mathbf{r}(t) \times \mathbf{s}^{\prime}(t)$

Related Courses

Calculus 3

Calculus: Early Transcendental Functions

Chapter 11

Vector-Valued Functions

Section 2

The calculus of Vector-Valued Functions

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Video Transcript

approved there You're finding hard. And while they're just asking us to show that area of the cross product, which is the vector is, let's see some Oakley a product room. But instead of the normal product we have but seeing the cross product. Okay, so what you should do first, just like heart, is compute directing that results from the cross product and then take the derivative of the individual components. You did that the did your product or company. But what you should do him is notice that you're looking for, um, these terms on these terms and you can separate them with in addition. So you want to separate like this so that when you had them, you get the previous specter such that all the times that you collected here are exactly our brand 15 cross product tenacity, Uh, are tee draws product with US currency and that'll work out just like in the previous video. Good luck

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