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Find the magnitude Ilvll and the direction angle 0 for the given vector v . V = 5i + 13jIvl (Round to the nearest hundredth as needed )0 = (Round to the nearest ten...

Question

Find the magnitude Ilvll and the direction angle 0 for the given vector v . V = 5i + 13jIvl (Round to the nearest hundredth as needed )0 = (Round to the nearest tenth as needed )

Find the magnitude Ilvll and the direction angle 0 for the given vector v . V = 5i + 13j Ivl (Round to the nearest hundredth as needed ) 0 = (Round to the nearest tenth as needed )



Answers

Find the magnitude $\|\mathbf{v}\|,$ to the nearest hundredth, and the direction angle $\theta,$ to the nearest tenth of a degree, for each given vector $\mathbf{v}$. $$\mathbf{v}=-10 \mathbf{i}+15 \mathbf{j}$$

So in this question we have been given the value of B like from a wise I called the 51 or 503 further magnitude off me will be quarto wrote over off expert place wise where it will be equal to wrote over off five square plus five year or three square is a square to October off 25 plus 75 all tore October off 100 is nothing But then similarly dangle theta will be called toe They're in worse off by by X which is a quarto Dan Inverse off. I threw three by five. So tan inverse off Route three. This is nothing but 60 degrees. Um

In discussion we need to find the magnitude to the nearest 100 the direction angle theta to the nearest 10th of a degree. For the vector we difficult to seven I minus T J minus then i minus D J. So that's the ourselves this question first of all let's simplify this factor we equals two seven I minus to D J minus can I plus D J. Now let's write each items together and each items together. So this will be calls to seven I minus then I minus D J plus D J. When you first of all this we get minus three I plus G Dogg we know that for director Jared physicals too. X Y plus Vijay the magnitude of jed can grittiness and the root of access choir plus y square on the basis of this formula we can write the magnitude of we is because to underwrote of -3 is choir plus juro Squire hence magnitude we will be called to three so this is the magnitude. Now let's find the direction angle we know that for director jerry vehicles to X I plus Vijay the value of X can be written as magnitude of their into because science data therefore you will be called to cosigning worth X upon magnitude zed hands on the basis of this formula we can right Keita is equals two because I? M universe minus three upon three and this will be called to Because I mean worth -1 Because I'm universe -1 equals two 1 80 degree. Therefore the direction angle is recalls to monitor degree hands we can conclude that the magnitude is three units and the direction angle is one degree. So this is the final answer for this problem. I hope you understand the solution. Thank you.

We have been given director be that is minus to wait Plus fight on. We need to find the magnitude So my new to become and I don't four plus going to fight because this is to square. This is very square and it comes out of the Group 29 on hope. Obviously this will be the only was different because it is the magnitude so positive. Route 29 The world might need to know. Let us find the direction angle, solder direction angle is nothing but 10 which is close to be by. And he's the guy component that is fight No, I didn't buy minus toe for this implies ties Questo gunning wars minus pipe by Have it easy. Questo minus 68.19 Disease are right in 360 degrees My going go anti clockwise. Will you get it, guys? 200 91 0.8 degrees

So let's find the magnitude and direction of anglo offices like harvey. So first let's simplify this. Okay. Mhm. What is close? I have 30° because I have such a degree because Squared of 3/2. Okay so I have five times square to 3/2 times I Plus size 30° goes 1/2 times that third G. Okay. Yeah. So we have five times square 3/2 times. I plus 5/2 times vector G. Okay. Yeah. So mhm. For the magnitude we have square of a plus square of B. Take the square root. Okay. Square a tough 100 over four When she goes to 10/2 or five. Okay. Okay so this number we call this A. This we can't be now let's find the direction angle. So we have tangent of Ceta equals B. Over A. Which he calls five over to over five times square to 3/2, which he calls one over square 23 Or squared of three Overstreet. So the angle theta equals architect gente Scared of 3/3. Yeah. Listen, which it calls 60°. Okay. Or you can call this ah Okay sorry this is a certain degree Which she goes pi over six. Okay so this is uh direction and magnitude of vector V.


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