# Vector Definition and 1000 Threads

The VECTOR is a light all terrain tactical vehicle in service with the Royal Netherlands Army and Navy. The vehicle is produced by Dutch defense contractor Defenture.

View More On Wikipedia.org
1. ### B What is physical significance of the direction of angular velocity?

This question has been bugging me for quite a while, That what do we mean by direction of angular velocity or torque. As we know that the direction of angular velocity or torque even is determined by right hand thumb rule, and it come out to be perpendicular to the rotational plane. So my...
2. ### Vector parametric equation of line

I can imagine x + y = 1 to be line in xy - plane but how can x + 2y + z = 3 be a line, not a plane? Thanks
3. ### I Units of a vector in a velocity vs time graph?

This post parallels a post I made in electrical engineering regarding the S plane. I thought I would post an equivalent in basic physics. So, given a graph of velocity vs time we have on the vertical axis meters/sec and the hormonal axis just meters. Given a plot of V vs t we know the area...
4. ### Units for a vector magnitude in the s-plane

In the S plane we have a real component, usually called sigma, and the imaginary component, jw, in radians/sec. The real component is sometimes called nepers per second, with nepers being dimensionless. However, if we draw a vector in the s-plane, say s - s1, in polar form, what are the units...
5. ### Question involving the Divergence Theorem and Surface Integrals

Is this correct? Ignore my bad drawings
6. ### I Question about vector spaces and subsets

V is a vector space and W is a subset of V. could W be a vector space but not a subspace of V?
7. ### I Killing fields commute if they are asymptotically coordinate?

Some axially symmetric star has two independent KVFs, ##T## and ##\Phi##. We don't know the expressions for these at all points -- the only thing we know is that as ##r^2 + z^2 \rightarrow \infty##, that ##T \rightarrow \partial/\partial t## and ##\Phi \rightarrow \partial/\partial \phi##. The...
8. ### Electric field vector equation: Finding the neutral point for two charges

This is the general suggested approach given in a textbook. My question is why can I not directly write it in vector form? E1 vector + E2 vector =0 should be valid no? Why are they choosing to write E1 mag + E2 mag=0 Then find a vector form Then convert the magnitude equation into a vector...
9. M

### Coupled oscillator question

The problem and solution is, However, I am confused how they get ##\vec a = (1, 2)## (I convert from column vector to coordinate form of vector). I got ##\vec a = (a_1, a_2) = (a_1, 2a_1) = a_1(1, 2)## however, why did they eliminate the constant ##a_1##? Thanks for any help!
10. ### Find the position vector of ##Q##

O level question; i used similarity would appreciate an easier approach for 2 marks. The ms solution (approach) is not clear to me. Here it is; My approach; using similarity Any insight welcome its a 2 mark question- cannot seem to find easier way though i suspect reflection.
11. ### I Non orthogonal basis and the lines of its coordinate grid

Hello, I have watched a really good Youtube video on linear algebra by Dr. Trefor Bazett and it made me think about a question... () Personal Review A basis in 2D space is formed by any two independent vectors that are not collinear geometrically. Any vector in the 2D space can then be...
12. ### A Why ##A_{\nu:\sigma}=0## in flat space?

In Dirac's GTR. Sec. 12 (p. 22), he wants to show the equivalence of: (a) Vanishing of the curvature tensor ##R^\beta_{\sigma\nu\rho}=0##; or equivalently, the equality of mixed second covariant derivatives ##A_{\nu:\sigma:\rho}=A_{\nu:\rho:\sigma}##. (b) Path independence of parallel transport...
13. ### Finding the x component of position vector

I first calculated the time using y = (viy)(t) + 0.5gt^2 where y is the vertical displacement which is 0 for the ball landing back on the ground, viy is the initial vertical velocity ie 16.55m/s and g = -9.8m/s}^2. I get 2 values for t, t=0 and t= 3.377s. Then using the equation x = (vix)(t) =...
14. ### Find the magnitude and the direction of the resultant vector

Going through this ( Revision) A salways your insights are quite helpful. I would like to go through all these questions; i will start with (5), ##\left( \dfrac {x} {y} \right)## = ##\left( \dfrac {10 \cos 40^0} {10 \sin 40^0} \right)## + ##\left( \dfrac {4 \cos 150^0} {4\sin 150^0}...

31. ### Finding the projection of a Vector

I am looking at this now; pretty straightforward as long as you are conversant with the formula: anyway i think there is a mistake on highlighted i.e Ought to be ##-\dfrac{15}{37}(i+6j)## just need a confirmation as at times i may miss to see something. If indeed its a mistake then its time...
32. ### B Define a vector that transfers the reference systems to the future

Suppose a stationary reference frame, any other reference frame will have a clock that advances at t'= t/gand is moving away at velocity v. g is the relativistic factor. we can write: C d t' = Cdt/g and d x = v dt this can be written (Cdt',Cdx)=(C/g,C v) dt ; since 1/g2+ v2 =...
33. ### I Parallel vector, I need a bit of explanation

Given that c = 3i + 4j and d = i - 2j, find u if uc + d is parallel to i + 3j, this is the question in the solution, it says that we have to multiply the 3 with the i i do know that this is the ”method“ to do this question but I’d like a bit of explanatio. I don’t understand why the 3 is...
34. ### I Need Help understanding Griffiths [Vector Analysis]

I don't understand anything about how 1.18 came to be (Red Rectangle), any help would be greatly appreciated!
35. ### Airplane Vector Problem: Drawing the diagram

An airplane has an air velocity of 500 km/h [N 30 E] and encounters a wind from [S 75 W] at 180 km/h, find the ground velocity. Make sure you draw a big, labelled diagram. Please help! I’m understand the calculations that need to be done (cosine law then sine law for the angle) but I’m a little...
36. ### Find unknown wind velocity given airlplane's speed

But I don't understand how is that it ends up on the west side if both vectors were pointing east.
37. ### Vector is a function of its position or not?

At first I thought that this force vector ## \vec F = 3 \hat x + 2 \hat y ## is a function of ## x ## and ## y ##, which is to say that its magnitude and direction vary with the x and y positions, but this is not so, right? It's just a force with a constant magnitude and direction. And I can...
38. ### I Understanding Vectors: Magnitude & Direction

Good Morning (And apologies if this is not the right forum -- it is not a homework problem.) On the one hand, a vector is an arrow and a tail: it has magnitude and direction. It is used to describe direction, forces, acceleration, etc. However, there are more mathematical definitions: a...
39. ### Vector Math Problem (Boat crossing a River)

My answer is 130.54... Is that correct?
40. ### Multi-part question involving a vector field

(a) ##\vec G=24xy\hat a_x+12(x^2+2)\hat a_y+18z^2\hat a_z## @ ##P(1,2-1)## ##\vec G=24(1)(2)\hat a_x+12(1^2+2)\hat a_y+18(-1)^2\hat a_z## ##\vec G=48\hat a_x+36\hat a_y+18\hat a_z## (b) I am not sure how to get this part started. Could someone point me in the right direction?
41. ### I Vector calculus: line element dr in cylindrical coordinates

We were taught that in cylindrical coodrinates, the position vector can be expressed as And then we can write the line element by differentiating to get . We can then use this to do a line integral with a vector field along any path. And this seems to be what is done on all questions I've...
42. M

### Finding vectors parallel to a given vector

For (b) of this problem, The solution is, However, I am confused why the two parallel vectors are ##(\frac{2}{\sqrt{13}}, \frac{3}{\sqrt{13}})## and ## (-\frac{2}{\sqrt{13}}, -\frac{3}{\sqrt{13}}) ## should it not be ##(2,3)## and ##(-2,-3)##. Do somebody please know why they wrote that? Also...
43. ### I Solving simultaneous vector equations

I'm sorry, this touches so many areas, I just didn't know which pigeon hole to put it in, so I dropped it here in General. Simple summary. I have two physics equations. The problem I'm trying to solve is a follower is chasing a target that is moving at a fixed velocity. The follower is going...
44. ### Does each norm on vector space become discontinuous when restricted to S^1?

Dear Everybody, I am having trouble with last part of this question. I believe the answer is no. But I have to proof the general case. Here is my work for the problem: Suppose that we have two distinct norms on the same vector space ##X## over complex numbers. Then there exists no ##K## in...
45. ### B How to multiply matrix with row vector?

How do I calculate a 3x3 matrix multiplication with a 3 column row vector, like below? ## \begin{bmatrix} A11 & A12 & A13\\ A21 & A22 & A23\\ A31 & A32 & A33 \end{bmatrix}\begin{bmatrix} B1 & B2 & B3 \end{bmatrix} ##
46. ### Vector Calculus in 1D: ± to Show Magnitude?

[mentor's note - moved from one of the homework help forums] Homework Statement:: It's a question. Relevant Equations:: Vector calculus. Is it true to say that in one dimension I can show vector quantities using ±number instead of a vector? ± can show possible directions in one dimension and...
47. ### Find the coordinates of D which lies on the vector BC

Not sure on howto proceed here?
48. ### I Dot product of two vector operators in unusual coordinates

Hi. I hope everyone is well. I'm just an old person struggling to make sense of something I've read and I would be very grateful for some assistance. This is one of my first posts and I'm not sure all the LaTeX encoding is working, sorry. Your help pages suggested I add as much detail as...
49. ### Vector sample problem -- Force components on a spring mechanism

Determine the amount and type (tensile or compressive) of the spring force so that the resulting force is a vertical force. Also get the resultant force. i find 60N (compressive) and resultant forces is 10800 is that correct?
50. ### Vector problem, magnitude of the force

Member CB of the vise shown exerts on block B a force P directed along line CB. Knowing that P must have a (1237) N horizontal component, determine (a) the magnitude of the force P, (b) its vertical component i don't get it what the "N horizontal component"