We are giving the pulling back their valued function and we are us to find the unit tension vector and the art length. Usually when I'm given this format, I like real braiding Might questioning a vector farm summed is gonna do that really quick. Okay, So when we're asked to find the attention like theory, which means we need to find the first derivative. So when we take the drill, a Dave's for bettors is the same process. But just we take the derivative over each confident X, y and Z. So our new function off the dreaded you look like this follows the director. Of course, Sign is just negative sign, so it will be native to 70. The dreaded off sign is just call sign, so it will be too close. I Inti Amanda wrote five p will be just route five. So this is our Drew tive, which is also cold velocity. And to find a unit tension Director. This is our attention factor as well. But to find the inattention, we divide bites magnitude, so t will be our primal T divided by its magnitude magnetism, velocities also called speed. So to find the magnitude velocity. I'm gonna do it out in here. It will be the square it off X squared plus y square. Put c square. Um, on what we found on top, uh, this waas native to sign key word plus two car sane T square puts route by squared of a simple fight is all I did in here is just a two guard before from over here. And then I found these identity and this is just one. So this will be fruit nine, which is also called to three. So are magnitude or delight of this factor. Velocity, vector or tension Vector is three. So our unit tangent will be and then you'll just divide each competent. But to get the same format as they cave us in, the question will distribute creating I J in K format. So are getting attention. Will be native to assign t I plus two core sign T j over three. I'm past Brut five. 03 Okay, so this is our answer for the first part of the question. And then the second part of the question as to us to find the arc length from over here, You know, I saw still find the ark link from 0 to 2 pi r r clanks art length equals to the integral from A to B off the speed DT and we found that speed is it goes to three. So for us, it will be a syrah Too high three. Vicky, I'll just integrate the Isobel Big Three key from zero to pi. And this is just street high. So we found our answer to this is two pi r r clank history pie.