Vectors Definition and 1000 Threads

Homework Statement I am having difficulties in analyzing problems. Here are the problems: A1. A hiker begins trip by walking 25km southeast from her base camp. on the second day, she walks 40km in a direction of 60 degrees N of E, at which point she discovers a forest ranger's tower. Determine...

If we have a vector $$\partial_v$$ and we want o find its norm, we easily say (According to the given metric) that the norm of that vector is:$$ g^{vv}\partial_v\partial_v$$. My question what if we have a vector that is combination of 2 vectors like: $$\phi =\partial_v + a\partial_x$$ where $a$...

Homework Statement This is an example problem in my calculus textbook. I don't get how they relate the position vector to the force vector. I have taken a calculus based physics course and I don't remember establishing such relationship between the position and the force vectors. Note: I have...

Hi all, If Torque = Arm cross Force Is it possible to calculate the arm from the torque and the force? I have tried to solve this using cross product of torque and force to give me the arm direction. Then normalizing the result and multiplying by torque magnitude / force magnitude. However I...

Homework Statement [/B] A plane flies the following paths: 168 km to the Northeast, 144 km to the Southeast, 246 km to the Southwest, and then 127 km to the Northwest. At the end of the trip, how far was the plane from the original airport? Homework Equations [/B]Pythagorean theorem...

Homework Statement Write the vector u=(2,3,-1) as the sum of two vectors, one parallel to v=(1,0,-3) and the other orthogonal to v=(1,0,-3) Homework Equations orthogonal vector would imply that v"dot"w = 0 ( dot product) Parallel vector would imply that v=kz OR the crossproduct of both is 0...

1. Homework Statement The millennium eagle passes between a pair of asteroids, as shown. If the mass of the spaceship is 2.50 x 10⁷kg and the mass of each asteroid is 3.50 x 10¹¹kg, find the net gravitational force exerted on the millennium eagle at point (A) and point (B). Treat the asteroids...

I think it may have something to do with momentum or vectors, but I'm not sure? Can you explain to me why Wolverine jumping off the train and then flying several feet backwards in a perfect straight line is unrealistic?

1. If u=-7i-3j and v=-4i+4j, find w=5u+4v. 2. I'm not sure which equation to use? Test is tomorrow so fast help would be great!The Attempt at a Solution : So my teacher gave us the answer key and it reads: -51i+j and i am not sure how to get that?? Please help![/B]

Hello every one , in this pic i just printed ( Tensors_The Mathematics of Relativity Theory and Continuum Mechanics by Anadijiban Das ) here the author classifies the basis into 3 types 1- is the general basis (non-holomonic ) , 2- coordinate basis ( holomonic ),3- orthonormal basis ( non-...

Homework Statement [/B] The axle of a wheel is mounted on supports that rest on a rotating turntable. the wheel has angular velocity ##\omega_1 = 44.0\; \frac{\textrm{rad}}{\textrm{s}}## about its axle, and the turntable has angular velocity ##\omega_2 = 35.0\; \frac{\textrm{rad}}{\textrm{s}}##...

im going through previous assignments to study for a test and i can't seem to remember how i did this one. Add each element in origList with the corresponding value in offsetAmount. Print each sum followed by a space. Ex: If origList = {40, 50, 60, 70} and offsetAmount = {5, 7, 3, 0}, print...

Write a for loop to print all NUM_VALS elements of vector hourlyTemp. Separate elements with a comma and space. Ex: If hourlyTemp = {90, 92, 94, 95}, print: 90, 92, 94, 95 Note that the last element is not followed by a comma, space, or newline.Sample program: #include <iostream> #include...

Hi Guys, please help me. how can i derive the primitive vector of copper oxide (I)? basically this is cuprous oxide having a cubic crystal structure but since it has oxygen in it the directions and magnitude of primitive vector are far different compare to basic cubic structure. also please help...

Homework Statement In Exercises 45-46, show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. 45. The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t Verbatim from Poole - Linear Algebra: A...

This question just recently came up in a physics problem, but it's actually more of a math problem, so I'm going to ask it here. Let me provide some context. The HW was to show mathematically that the divergence of the curl was zero for the first part, and to explain it...

Homework Statement Pick any numbers that add to x + y + z = 0. Find the angle between your vector v = (x, y, z) and the vector w = ( z, x, y). Challenge question: explain why v.w/|v||w| is always -1/2. Homework EquationsThe Attempt at a Solution I chose (1, -2, 1) for the first part, which is...

Homework Statement Given that the force of gravitation between Planet A (the one in the left side of the drawing), Fa=3000/da2 and the force of gravitation between Planet B and the rocket, Fb= 6000/ db2. Assuming that the three bodies involved is in stationary. What are the distances (ranges)...

Given $\vec{A}=2.15a\rho+6.25a\phi+3az$ and $\vec{B}=0.11a\rho+3.35a\phi+2az$. Determine the distance from $\vec{A}$ to $\vec{B}$. what to do first?

hai, can anybody say how to identify scalar and vectars

I'm just starting to learn about vectors, and I was trying to figure out what the vector components mean physically. I've seen two definitions of vectors, and the first is a that a vector is something with a size and a direction. The second definition I saw defined vectors as "displacements in...

Question An object is traveling eastward at a speed of 500 ms-1 flies into a 90ms-1 crosswind blowing southward. a) calculate the resultant velocity of the plane relative to the object as it flies through the crosswind. b) A person is steering the object, calculate the direction the person...

I'm having my semester test tomorrow, and I got this task from my teacher to do before the semester test. : By decomposition of forces apply these formulas for a right triangle: Task1: An iceberg floats with the stream and wind. The power comes straight from the north with speed 3m / s. Draw...

I have noticed that in my classical mechanics course and in the textbook I read for it, the portion in examples that require to look at the sum of forces for the system is different than what I am accustomed to in introductory texts. For example, if we were dealing with a system with a ball of...

Whats the difference between tensors and vectors?

Consider the pith balls in the diagram: Both of them has mass 'm' and charge 'q'. The question asks for the charge on both the pith balls. The concept is a bit straightforward. But I am confused at the force distribution experienced by the pith balls. My text tackles the problem with...

http://tinypic.com/r/euht06/8 Hi everyone! It was the question given to us in today's test & I was wondering if anyone can tell me what is the correct answer. The teacher will post the answers by the end of this week but I am feeling anxious to know the answer. Thanks in advance. P.S. Sorry...

Homework Statement My science fair project (high school sophomore) is about calculating the amount of force that is sustained from a fall off of a horse at different heights at different gaits (speeds). I would then compare the force sustained in the fall and compare it to what certified...

How would you prove that adding two vectors in the column space would result in another vector in the column space? I know this is maybe the most basic property of vectors and subspaces, and that the very definition of the column space says it's spanned by vectors in the column space. Is there...

I'm trying to find the azimuthal angle unit vector \vec{\phi} in the cartesian basis by taking the cross product of the radial and \vec{z} unit vectors. \vec{z} \times \vec{r} = <0, 0, 1> \times <sin(\theta)cos(\phi), sin(\theta)sin(\phi), cos(\theta)> = <-sin(\theta)sin(\phi)...

Homework Statement Q.[/B] A body dropped from a height H above the ground strikes an inclined plane at a height h above the ground. As a result of the impact, the velocity of the body becomes horizontal. The body will take the maximum time to reach the ground if : (a) ##h=\frac H4## (b)...

Homework Statement Find the x-component of the ##F_b## (parallell with ##\vec{s}## and the ground) and find the resultant total Force. Then calculate the total work done by both over a distance of 15 m. Homework Equations F_{x} = |F| \cdot \cos v F_{y} = |F| \cdot \sin v W = \vec{F}...

Who knows where this formula comes? $$ e_i \otimes e_j + e_j \otimes e_i - \frac{2}{3}( \sum_{\substack{k}} e_k \otimes e_k )\delta_{ij} $$

Homework Statement You are given 3 charges (q1,q2,q3) q1 has a magnitude (charge) of 7, q2 has a magnitude (charge) of -5, q3 has a magnitude (charge) of 3. q1 has 2d co ordinates (3, 4), q2 has a 2d co ordinates (5, 9), q3 has a 2d co ordinates (7, 8). For q1, q2 and q3 calculate the total...

how do i write vectors in polar coordinate? And what will the azimuth coordinate represent? I was trying to figure out the vector connecting a ring to its center using polar coordinates, so that i would perform an integration over d(phi) (finding the electric field due to a semicircle at the...

Homework Statement For which value of k are the vectors linearly dependent? v1=[1,0,1] v2=[1,1,2] v3=[1,2,k] <--Originally written as column vectors Homework EquationsThe Attempt at a Solution None of the vectors look like multiples of each other to me...so time to row reduce. Since each...

ok I am working on some activities and i can't get past this one. Write a for loop to populate vector userGuesses with NUM_GUESSES integers. Read integers using cin. Ex: If NUM_GUESSES is 3 and user enters 9 5 2, then userGuesses is {9, 5, 2}. Sample program: #include <iostream> #include...

Q. Two particles start simultaneously from the same point and move along two straight lines, one (particle A) with uniform velocity v and other (particle B) with a uniform acceleration a. If ##\alpha## is the angle between the lines of motion of two particles then the least value of relative...

Are the vectors resolved correctly? I get a different answer to this question(well my diagram itself is different). How can ##\beta## be greater than ##\alpha##? Isn't it that here ##\alpha## should be in place of ##\beta## and ##\beta## in place of ##\alpha## and both ##V(rain,woman)## and...

Homework Statement How do you calculate compute the the magnitude of the total force of three charges and also the angle it makes with the x-axis? Knowing the magnitude and also the 2d co ordinates of the charges. (x1,y1) (x2,y2) (x3,y3) I know for definite I use the below calculation but...

Homework Statement What is r hat (^) like exactly and how do you calculate it? I know that it is something to do with unit vectors and that it should be gotten in some form of cosi + sinj like I had to input geometry co ordinates x1,y1 and stuff Any help at all will be appreciated

Q.In the arrangement shown in fig. the ends P and Q of an inextensible string move downwards with uniform speed u. Pulleys A and B are fixed. The mass M moves upwards with a speed. ANSWER PROVIDED BY MY TEXT In the diagram ##vcos\theta=u## therefore ##v=u/cos\theta## HOW I TRIED TO DO THE...

Homework Statement Prove that the vectors a=(3,2,-1), b=(5,-7,3), c=(11, -3, 1) are coplanar. Homework Equations not sure The Attempt at a Solution First time I have ever came across the term coplanar, I know what it means but did not know any tests for it. So I did a little research and...

whats an array for?...whats a vector for? what do they do? what purpose do they serve?

How do you calculate compute the the magnitude of the total force of three charges and also the angle it makes with the x-axis? Knowing the magnitude and also the 2d co ordinates of the charges. I have deliberately not given any specific values because this is not homework its a question from...

Hi I am struggling big time with Physics and vectors and I keep coming across r hat (^) like what is it exactly and how do you calculate it? Thanks in advance

Homework Statement Find Particle A's speed with respect to Particle B. I am given: Particle A: (15i - 10j) or 18.03 m/s angle A: -33.69 degrees Particle B: (5i + 15j) or 15.81 m/s angle B: 71.57 degrees (Both angles with respect to x axis) Homework Equations Had there not been any angles, I...

Very simple question but I am confused... I am asked to find Particle A's speed with respect to Particle B. What does this mean? I am given: Particle A: (15i - 10j) or 18.03 m/s Particle B: (5i + 15j) or 15.81 m/s I just don't understand what I'm being asked to find and how to go about solving...

Homework Statement Standard pool balls have a mass of 0.17kg. Before a collision, ball A is at rest and ball B is traveling at 4.5 m/s [N]. After the collision, ball B is traveling at 1.6 m/s [N20E]. What is the velocity of ball A? Homework Equations pinitial = pfinal m1v1 + m2v2 = m1v1 + m2v2...

I am just being introduced to the notion of covectors. I see that the gradient of a scalar function is thought of as a covector. Q1) On another source I have read to think of contravariant vector field as a differential operator: Va \partial _a and to think of a covariant vector field as...