# vectors

1. ### How can I find the tangential speed of an object from vectors?

The problem is as follows: A protein sample spins in the counterclockwise direction in a centrifuge seen from the top as shown in the diagram from below. The radius of the centrifuge es $R=2\m$. The magnitude of its speed changes. At a certain instant the acceleration vector is as shown in...
2. ### How do I find the centripetal acceleration when vectors are given?

The problem is as follows: A lactose solution is put in a test tube inside a centrifuge as shown in the graph from below where a small dot represents the tube with the sugar (view from the top). Assuming that the sugar sample along the test tube behaves as a particle it spins following a...
3. ### Linear (in)dependence

Hi guys, I'm stuck with a problem which is, I believe, simple, but I can't solve it by myself. So, I have 4 vectors a,b,c,d that are linearly independent. I am supposed to check whether the following vectors are dependent or independent: a1 = a+2c+d b1 = 2a-b+c c1 = a+c+d Thank you in advance. :D

7. ### How can I find the resultant and norm from pair of vectors passing in half a circle?

I've been walking in circles (no pun intended) with this problem. It states as follows: A certain sugar is analyzed at an optical laboratory. The tecnician passes two beams in the visible spectra one orange and the other lightblue. These describe the vectors labeled A and B (see the figure...
8. ### Vectors

A kite skier is skiing at 25 ms^1 in the N 25Â° E direction. Calculate the northerly and easterly velocity of the skier. I tried doing Sin 25degrees= Vn/25 Vn= 25 Sin 25degrees= 10.6m/s northernly and doing the same both with Cos I get 22.7m/s EAsternly A strong gust of wind from the...
9. ### 3 vectors and the resultant vector

I have 3 current vectors of magnitude i/2 120 degrees apart nothing but a 3 phase signal. I want to calculate the resultant vector this is how I approached, I don't know which software to use to draw them, I have used drawio for drawing. My question is the resultant vector is a Null vector. Is...

11. ### General question on Vectors

A general question which I want to clarify, it is regarding the vector addition. We have a certain methodology to do vector addition. Let us take the example of AC currents or voltages which are vectors and 120 Deg apart and if we add them there is a resultant vector which will be in a direction...
12. ### Spatial Vectors

Hi, I will translate to english so please feel free to ask any doubts. The problem is: Explain why every C-spatial vector V is also a R-spatial Vector. Regards, Gaston
13. ### Parallel unit vectors

I am at my wits end with this question and hopefully someone can push me in the right direction or offer me some "AH-HA!" advice. Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin(x) at the point (Ï€/6, 4). (Enter your answer as a comma-separated list of...
14. ### Interpolating 2 Vectors

Hello, I attached an image of what I'm searching for, (which is how long k is) I'll describe it: I have two vectors that start at the same point and have a defined angle between them. I also know the length of both vectors. If I connect the endpoints of both vectors, the resulting line will...
15. ### Length of vectors

Hey! I need some help with this task: Suppose that u1,u2 is an orthonormal basis of R2, that means u1*u2=0 and ui*ui=1, i=1,2. Let y=[<y1,y2>] be a vector in R2 and v = y1u1 + y2u2. Show that the vectors y and v are equal in length. The v vector is a sum of two scalar products. I don't...
16. ### Vectors Help

Hi, I have no idea how to do this question. However, I have done up certain portion which is to my best understanding. Help is greatly appreciated.
17. ### Vectors / Magnitude

Hi All, Having great difficulty in the following problem: Magnitude of the 3 forces acing on a stable object A = 800kN West B = 650kN South C = ? What is the magnitude of force C? Any help would be much appreciated.
18. ### Using Eigen Values and Vectors for computing complex arithmetic series

The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, .... In general, F_{k+2} = F_{k+1} + F_{k} . Here is some background info, we derive the following matrix for computing F_{100} : \mathbf{A} = \begin{bmatrix} 1 & 1 \\ 1 & 0 \end{bmatrix} \begin{bmatrix} F_{k+2} \\...
19. ### How to quickly add any number of vectors

Hey guys, if you would like to take a look, here is a lesson I made on how to quickly add multiple vectors without having to add them one by one. Check it out and let me know if you have any question. ZKa_-SN6ZBs
20. ### Sea ships and their space-time equations

On different days, two sea ships and their space-time equations (coordinates in km and hours) were observed: Find out whether the boats have different velocities or different courses. My question: Since the coordinates are time and space, how do I plot these on a graph? Can I do the...