# vector

1. ### vector problem

Hi all, Please take a look at the attached image of the problem and if someone could explain where the indicated value came from that would be so very helpful. I got everything but not quite sure why the sqrt2 was inserted towards the end.

Hello, i'm working on an assignment where i have to find the rotation ThetaR around the z axis. I have two vectors lets call them vector a and b Known values are: phi-a, theta- a and phi-b and theta-b but they are arbitary. As you can see in the picture i have to find the rotation around the z...
3. ### Why I always choose vector methods

Two directed line segments are given in space, direction numbers are a given, find a vector perpendicular to both. Yes, this can be done using the cross product; that's easy. But this can't be done that way. The only knowledge I have are the direction numbers associated with the given line...
4. ### Vector

How to solve the Q3.
5. ### Vector magnitude

Two forces, each equal to P, act at right angles. Their effect may be neutralized by a third force acting along their bisector in the opposite direction with a magnitude of___________ in this diagram, the resultant vector is the opposite direction, So what should I do the addition of vector or...
6. ### Vector

If the vector A = 2iË†+4jË† and B = 5iË†+pjË† are parallel to each other, the magnitude of B is____________ how to solve it?
7. ### 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...
8. ### Vector assignment

I'm pretty sure this example is easy to do, but I'm not that good with vectors. You were given square ABCD with side a = 3cm. Point S is center of diagonals. You need to find vectors AD, CA and BS.
9. ### Rotation around Axis(R3) to Rotation around Cartesian-Axes(r1, r2, r3))

Hello, my problem is as follows: I have the angle between two vectors in R3, lets say it's q. vector1: (v1, v2, v3) vector2: (w1, w2, w3) How can I figure out, how to rotate vector1 around X, then Y, then Z, to create the same rotation as the angle-rotation around vector1's and...
10. ### How to find the rotation vector by deriving the final vector with respect to the disp

My understanding of a rotation of a vector can be done by using a 2D rotation matrix as shown below, $R(\theta )=\begin{bmatrix}\cos \theta &\sin \theta \\-\sin \theta &\cos \theta \\\end{bmatrix}$. This rotates column vectors by means of the following matrix multiplication...
11. ### How to integrate a vector function?

I have this \vec{v} = v_0 \cdot \vec{i} - gt \cdot \vec{j} and I want to calculate this: \Delta{x} = \int_{t_o}^{t} \vec{v} \cdot dt But I never saw an integral that has a vector inside it: \Delta{x} = \int_{t_o}^{t} \vec{v} \cdot dt \Leftrightarrow \Delta{x} = \int_{t_o}^{t} (v_0 \cdot...
12. ### Divergence of unit vector in two dimensions

I am confused in opting the correct option of this question. Please help me with the correct answer. This is a part of my assignment. :confused::cry:
13. ### State the single vector equal to each of the following

In parallelogram EFGH, EF=u and FG=v. State a single vector equal to each of the following. a) u+v b) u-v c) -u-v d) v-u
14. ### Vector

If a=3u-v,b=-u+2v and c=3u+4v where u and v are two non-parallel vectors 1.Draw the vectors on a plane using magnitudes and slope angles 2.Express c in terms of a and b 3.determine the magnitude of the vector d=3a+2b+c.Given that u and v unit vectors inclined at 60Â°. Help me....!!!!!
15. ### Convergence in a normed vector space - Linear operator

Having X a normed vector space. If f is a linear operator from X to â„ and is not continuous in 0 (element of X) , how can we show that there exists a sequence xn that converges to 0 for which we have f(xn) = 1 (for all n element of â„•). Any help would be greatly appreciated, thank you.
16. ### Adherence of subset - Kernel

Having Y, a subspace of X. How can we show that the adherence of Y can be expressed as : Adherence of Y = intersection of { Ker(f) | f element of X* , Y contained in Ker(f)}
17. ### Singular vector decomposition and Low Rank Approximation

In https://blogs.sas.com/content/iml/2017/08/30/svd-low-rank-approximation.html , could anyone elaborate on the following sentence ? Why is it 48 ? Besides, could anyone explain how the following two equations work for low rank approximation ? Ak = U[ ,idx] * diag(D[idx]) * V[ ,idx]...
18. ### Need some help with this vector equation

Write the vector v1= (3, -2) as a linear combination of the vectors v2 = (1, 3) and V3 = (-1, 0). All of the (V)'s have this at the top of it ->. The answers they got were v1 = -2/3v2 - 11/3v3. I am trying to wonder how they came up with that conclusion. Someone please explain it to me. Thank...
19. ### Find a vector?

Let u , v a vectors of 2-dim such that u=<4,-2> ,|v|=10 the angle between u and v is 45 degree. Find a coordinate for v satisfies these conditions.
20. ### Vector algebra

the segment bounded by points A (-1, 8, -3) and in (9, -7, -2) is divided by points M1, M2, M3, M4 into five equal parts. find the coordinates of points M1 and M3.