Vector components Definition and 97 Threads

If we find the Poynting vector at a point along all possible directions possible, can the different components of the vectors cancel each other, to give a net Poynting vector along some direction? I was wondering about this because Poynting vector after all represents energy flow. So can...

Homework Statement Vector A= 5.00 m (See the attached image for the graphical representation) Vector B=17.0m Vector C=15.0 m Homework Equations Pythagorean Theorem, Basic trigonometry The Attempt at a Solution Finding the magnitude of the resultant vector is not...

Homework Statement We're trying to integrate a vector, E, with components, Ex = 6x^2y, Ey = 2x^3 + 2y and Ez = 0, from the origin to x = -0.4, y = 6.1, z = 0.0. Homework Equations integral E dot dr = V The Attempt at a Solution i don't know how

Homework Statement I read how to solve a problem I am working on, and part of it deals with adding vector components. A is the vector, Ax is the x component, Ay the y component, and theta is the angle A makes from the y axis.Homework Equations The Attempt at a Solution The solution involves...

Homework Statement If a sailboat is heading East at 18 m/s and it makes a turn until it is heading 50oNof E at 16 m/s, and the turn takes 2.5 minutes, what is the average acceleration of the boat in m/s2 Homework Equations None The Attempt at a Solution I drew the vectors of 16...

Homework Statement See attached photo. Find the resultant displacement measured from the starting point. Homework Equations The Attempt at a Solution When it comes to angles, i sometimes get confused when to add 180 or not. FOr the first two distances, we don't have to find...

Homework Statement A child throws a snowball with a horizontal velocity of 18m/s directly toward a tree, from a distance of 9.0m and a height above the ground of 1.5m. a) After what time interval does the snowball hit the tree? b) At what height above the ground does the snowball hit...

Homework Statement A train moving at a constant speed of 100km/h travels east for 40min, then 30o east of north for 20 min, and finally west for 30min. What is the train's average velocity for the trip? Homework Equations The Attempt at a Solution I think I have to calculate displacement...

Homework Statement A mass of 5 kg is suspended by two strings, 24 cm and 32 cm long, from two points that are 40 cm apart and at the same level. Determine the tension in each of the strings. Would the 40 cm length be the resultant or do you rearrange the 24 and 32 as head to tail...

I'm having trouble finding information online regarding figuring out vector components when you set up your own axes. All examples just show a basic x-y coordinate system where the cos and sin components of the vector are obvious. However, suppose you have a problem where, for example you have...

Homework Statement Is it possible to determine aircraft speed prior to contact with noted wind, if resulting aircraft speed, original aircraft heading, wind speed and wind direction and final aircraft heading are known? Homework Equations P (plane): Bearing 241° (traveling...

Are vector components scalars or vectors? Wikipedia.org says they're vectors, Nasa.gov says they're scalars, and I'm just confused. Arguments saying they're scalars: if you define unit vectors i, j and k, and say components are the numbers multiplying these vectors, then vector components are...

Homework Statement question 2 http://web.viu.ca/hearnd/Courses/Phys121/F02Test2/Page%201.htm" The Attempt at a Solution I have been trying to do question 2 on the practice test but I am stuck. I was trying to calculate the final velocities along each vector by using the equation...

Homework Statement A particle starts at t=0 at the origin of a coordinate system with a velocity of 1.32m/s in the negative y direction. There is acceleration on the particle of 2.47m/s^2 in a direction 35 degrees above the x axis. a) at what time does the y component of the particle's...

Homework Statement With reference to Fig. 3 (not accurate), where the origin is at the centre of the image, if r1 = (0.10)î+(-0.80)j hat, and r2 = (-0.90)î+(0.10)j hat, what is the distance between the dots? Homework Equations Unsure. The Attempt at a Solution I'm not so good with these...

Homework Statement A radar station, located at the origin of xz plane, as shown in the figure, detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is R_vec_A. The position vector R_vec_A has a...

Homework Statement If Avec = (6.00 ihat -8.00 jhat) units, Bvec = (-8.00 ihat + 3.00 jhat) units, and Cvec = (26.0 ihat + 22.0 jhat) units, determine a and b such that a Avec + b Bvec + Cvec= 0. a= b= Homework Equations Avec + Bvec = Rvec Rvec = (Ax + Bx)i-hat + (Ay + By)j-hatThe Attempt at a...

Homework Statement http://img32.imageshack.us/img32/5364/325n.png The Attempt at a Solution I don't know how to approach this simple problem. I don't know what role A+B+C = -1.90i plays. Even if the vector of B is found, I don't understand how to find the components of B.

Homework Statement Vector C has a magnitude of 5.0 units and makes an angle of -90.0º with the positive x-axis, vector D has a magnitude of 7.0 units and makes and angle of –120º with the positive x-axis. What is the magnitude of the vector sum of C + D? - I am assuming that this means the...

Homework Statement A plane flies from base camp to lake A, a distance of 280km, at a direction of 20 degrees north of east. After dropping thr supplies, it flies to lake B which is 190km and 30 degrees west of north from lake A. Determine the distance and direction gtom lake B to the base...

Hi! I'm writing a pool simulation program and have an awful problem with my ball collisions (elastic collisions). The theory (in terms of vectors) is that when two balls collide you take the line between their centers and the velocity components which are perpendicular to this line are...

Determine the x and y components. A 40 lb force vector that makes an angle of 120 degree counterclockwise from the -y direction. I did Ax= (40)(-cos120 degree) and Ay= (40)(sin120 degree) I got the right answer, I just want to make sure that this is the correct way of solving the problem.

I am having some trouble with this question. Determine the x and y components of the following two vectors in the xy plane. (A) A 25- m/s velocity vector that makes an angle of 40 degree counterclockwise from the -x direction. (B) A 40lb force vector that makes an angle of 120 degree...

Vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 27° with the x axis, and a vector B has a length of 26 and makes an angle of 75° with the x axis. Find the components of the vector in the following. (a) C = A + B ( , ) (b) C = A - B ( , ) (c)...

Homework Statement The components of a vector V are often written (Vx, Vy, Vz). What is the z component of a vector which is the sum of the two vectors, V1 and V2, whose components are (2.61, 1.72, 0.00) and (3.84, -4.54, -1.90)? b) Calculate the length of this vector. Homework Equations The...

Hi! In a non-uniform circular motion if I have two components of a vector in cartesian coordinates then how to find the tangential and radial components of a vector. For example ; I have Vx and Vy as horizontal and vertical components of a vector V respectively. Vx and Vy can lie in all...

Homework Statement Bob walks 200m south, walks 400m southwest, walks 200m in a direction 30 degrees east of north. Use either trig or components to find displacement that will return bob to his starting point by the most direct route. Homework Equations The Attempt at a Solution...

Homework Statement Man runs with velocity = 5m/s @ 25 degrees north of east for 10 minutes. How far to the north of his starting position does he end up? Homework Equations The Attempt at a Solution I know this has got to be the easiest problem to solve but I am not getting it...

Given F = (-20i + 50j = 10k) 1. The component of the foce projected along the pole AO. 2. The magnitude of the projected component of the F along the pole AO. I have no idea where to begin, I think I need to find the angles but I'm not sure how in three dimensions. (please excuse...

Homework Statement A person follows the path outlined below. 100m east, then 300m south then 150m 30 degrees south of west, then 200m 60 degrees north of east. Homework Equations I used component vectoring and have not been coming up with the resultant answer that the instructor has...

Homework Statement An overhead view of the path taken by a ball of mass m as it bounces from the rail of a pool table. The ball's initial speed is v and the angle is a. The bounce reverses the y component of the ball's velocity but does not alter the x component. ... (b) What is the change...

2-dimensional components for vectors is easy if you have the magnitude and angle. x is just magnitude*cos, and y is magnitude*sin. But consider this: Lets say you have a point charge q at (x, y, 0). You want to find the electric field at (0, 0, z). You know that the magnitude of the field is...

[SOLVED] Electric Force Homework Statement http://session.masteringphysics.com/problemAsset/1001926/10/knight_Figure_25_46.jpg What is the force F on the 1 nC charge at the bottom? Write your answer as two vector components, separated by a comma. Express each component numerically, in...

Homework Statement I have a vector A and B in spherical coordinates, and I need to find: part a) The vector component of B in the direction of A. part b) The vector component of B perpendicular to A Homework Equations dot product cross product The Attempt at a Solution...

If anyone could explain to me how to do the problem below that would be great. I don't understand how the vector \vec{F} can be split into components when it's facing straight down? http://tunerspec.ca/school/question6.jpg

^^ ^^ 1.) Given the two vectors b=x+y and c=x+z find b+c, 5b+2c 2.) r+s = (r1+s1, r2+s2, r3+s3), if r and s are vectors with components, r=(r1,r2,r3) and s=(s1,s2,s3) 3.) Is this correct for b+c? b+c= (bx+cx,by,cz) To me that doesn't look right, but I think I'm...

What's the definition of "vector components"? I mean that when I resolve a vector into two components, my teacher taught us to find its x-component which is on x-axis and y-component on y-axis, so if it be the case, then this vector must not be on either x-axis or y-axis but between. So is that...

If a rod is traveling with a velocity 'v' and its proper length is L_0 will the lorentz transformations given below hold true for the length contraction L_0 = \frac {L} { \sqrt {1 - \frac {{v_x}^2} {c^2}}} L_0 = \frac {L} { \sqrt {1 - \frac {{v_y}^2} {c^2}}}

Let the angle theta be the angle that the vector A makes with the +x-axis, measured counterclockwise from that axis. Find the angle theta for a vector that has the following components: A_x = -4.50m A_y = -3.30m Using the calculator, I got arctan(-3.30m/-4.50 m) = 36.25 degrees...

Ok... I am asked how a vector's components transform under a translation of coordinates. From mathworld: Does that imply that the components used to describe the vector remain unchanged? If you and I see a car drive east at 50 Km/h and you are standing at what you call the origin, and I am...

how do i add up 3 different vector components... i tried drawing them up in scale but had NO LUCK...some one please help.

Hiya all, I'm stuck on a physics question set for homework. It asks "draw vector diagrams to scale to show the vertical and horizontal components of the velocity of the tip of the hand at quater-past, twenty past, twenty-five past and half past the hour." The hand is 20cm long so using the...

I have a problem that includes an acceleration vector 'a' located in the 3 quadrant and it makes an angle (theta) 30 degrees to the Negative Y axis. The solution manual shows the the vector resolved like a = (12.0 sin 30 m/s^2) i - (12.0 cos 30 m/s^2) j Why take the sin of 30 for the...

A person is going for a walk and follows the path shown (the red lines). What is the person's resultant displacement, measured from the starting line? Ok, I can solve this using geometry, but I need to knkow how to solve it via physics. The first 2 vectors can be written 100mi+300mj, I just...

hi all got some problems with vectors so waswondering if anyone can check what I've done is correct thanks question1. find the vector component of 2i+j-k in the direction of i-3j+2k basically i use the rule a=(v*w^)*w^ w^= i-3j+2k / sqrt(14) thus v=2i+j-k therefore a=(2i+j-k)*(...

Hi - The problem is below and picture of diagram is attached. Could you tell me what is incorrect about my train of thought? I am suppose to express x and y. Find the components of the vector with length C and angle phi as shown, named C vector. Express your answer in terms of C and...

Hi! I'm new to the forums. I'm taking an introduction to physics class this semester and I've been having some difficulty with it. Oh, I also wanted to let you know that it's been a while since I've taken calculus or any other math class for that matter. But I need physics to graduate. Anywho...