Vector addition Definition and 183 Threads

vector A has a magnitude of 81 units and points due west, while vector B has the same magnitude and points due south. Find the magnitude and direction of (a) A + B and (b) A - B . Specify the directions relative to due west. (a) Magnitude and direction of A + B = and o (b) Magnitude and...

Homework Statement a person goes 180 m due west then 210 m 45 degrees east of south then 280 m 30 degrees east of north. After a fourth displacement the person is back where they started. what is the fourth vector? The Attempt at a Solution So I first added the first two vectors of 180...

Homework Statement find the vector sum of A + B. Find the vector difference of A-B. Then find the magnitude and direction -A-B and B-A. Vector A=12m and B=18m and the angle between B and the x-axis is 37 degrees. I'm really confused about how to think about a vector and if i should just...

Homework Statement Show if V is a vector space ([a,b,c]|ab>=0). I'm trying to test whether it is closed under vector addition. Homework Equations v=[a1,b1,c1] w=[a2,b2,c2], v and w satisfy ab>=0 a1b1>=0, a2b2>=0 show (a1+a2)(b1+b2)>=0 The Attempt at a Solution Got to a1b1...

Homework Statement The summit of a mountain, 2450m above the base camp, is measured on a map to be 4580m horizontally from the camp in a direction 32.4 degrees west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x-axis...

Homework Statement An ion's position vector is initially r> = (5.0m)i - (6.0m)j = (2.0m)k and 10 s later it is r> = (-2.0m)i +(8.0m)j - (2.0m)k. In unit-vector notation, what is its during the 10 s? The answer is supposed to be r> = (-0.7m/s)i + (1.4m/s)j - (0.4m/s)k (from back of my book) but...

Homework Statement A new pilot with Canjet is asked to find the resultant displacement of his jet if it flies at 345km/h @ 225 degrees into a wind that is blowing at 40km/h from the West. Use the 'construction line' method, components method, AND law of sines and cosines. Homework...

Homework Statement A land surveyor walks 5200m @ 330 degrees and then turns and goes an additional 3000m @ 180 degrees. Find his final displacement using the law of sines/cosines. Homework Equations I know the law of sines is a/sinA = b/sinB = c/sinC, and the law of cosines is a^2=b^2...

Homework Statement Two vectors have equal magnitude of 14.8 m and the angles are theta 1 = 32 deg & theta 2 = 108 deg. Find a) their x component b)their y component of vector sum \vec{}r c) the magnitude of \vec{}r & d) the angle \vec{}r makes with the positive direction of the x axis...

1. Vector A has a magnitude of 14 m and makes an angle of 26o with the positive x axis. Vector B also has a magnitude of 13 m and is directed along the negative x axis. Enter your answers in distance then angle(in degrees). 2. Find A + B Find A - B 3. 14cos(26)=12.6 x component for A...

Homework Statement Graphically determine the resultant of the following three vector displacements: (1) 34m, 25 degrees north of east;(2) 48m, 33 degrees east of north; and (3) 22m, 56 degrees west of south. Homework Equations Vr=V1+V2+V3 x=mag x cos of angle y=mag x sin of angle...

Homework Statement A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be: a. zero b. 3 c. 12 d. 47 e. 50 Homework Equations c ^2 = a^2 + b^2 The Attempt at a Solution I was not entirely sure on what to do. I tried using the...

Homework Statement A train at a constant 47.0 km/h moves east for 44 min, then in a direction 57.0° east of due north for 27.0 min, and then west for 61.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north positive and west of north negative) of its...

Homework Statement Three cables pull on the pipe such that they create a resultant force having magnitude FR. If two of the cables are subjected to known forces, as shown in the figure, determine the direction θ of the third cable so that the magnitude of force F in this cable is a minimum...

Homework Statement [PLAIN]http://img138.imageshack.us/img138/918/79095797.png Find AE resultant forceHomework Equations The Attempt at a Solution I don't know where to start, I can find some of angle, but still I don't get it, Also this question is in my test, I remember the question said AB...

Homework Statement With the diagram and the data answer the question: What is the magnitude of A + B? http://i995.photobucket.com/albums/af79/huybinhs/w.gif DATA: theta1 = 33.7 deg, theta2 = 141.9 deg , A = 3.6cm, B =8.3cm. Homework Equations This is an example of vector...

When adding the resultant of two or more forces i get confused when adding forces that are on 360 and 270 degrees. Like the question is 6 Newtons on 360 degrees, i don't get how they get -6, when cos 360 is 1 can anyone help me??

Homework Statement Alright so I have an object being pulled from two sides at an angle like the picture below. I want to figure out a third force that can be added to keep the object in the middle of the two sides. Are the directions of the components I drew correct? (There is an actual...

I can't seem to draw this diagram. A sign weighing 98N is suspended from the middle of a 4m long chain. The ends of the chain are attached to a ceiling at points 3m apart. Okay so i drew a diagram with a horizontal that is 3m and the chain hanging from each side is 2m long and the object is...

Homework Statement A 1.0 kg pendulum bob is suspended from a string 1.0 m long. The pendulum swings until the string makes an angle of 22° with the vertical. At this point, if the pendulum is held with a string fastened to the bob and held horizontally, what would be the tension in the original...

This isn't exactly coursework, since I am no longer in school, but I think this may be the most appropriate forum to post in. This link is for a TI/Unitrode app note, "Control Loop Cookbook", which is about control loops for switching converters...

1. Vector A has a magnitude of 3 m and makes an angle of 10o with the positive x axis. Vector B also has a magnitude of 10 m and is directed along the negative x axis. Enter your answers in distance then angle(in degrees). Find A + B Find A - B 2. R = sqrroot(Cx^2+Cy^2) Cx = Ax+Bx Cy...

A bird can manage 50 KmHr-1 in still air. There is a wind blowing eastward at 30kmhr-1, the bird wishes to travel south. The resultant speed the bird carries in the southerly direction is? For equations i just used vector addition, and pythagorous (A2+B2=C2) The first time i...

1. If the resultant force acting on the bracket is to be 790N directed along the positive x axis, determine the magnitude of F 2. Basically I got the components of the two vectors above and below F summed them up. I got THE RESULTANT X-component: 600cos45+325(5/13)+790cos(theta)...

Homework Statement I have three vectors and I need to find the resultant of the three vectors and direction. Homework Equations *All angles are with the horizontal Vector 1 = 18 at an angle of 40 degrees (First Quadrant) Vector 2 = 10 at an angle of 72 degrees (Second Quandrant)...

hello everyone I am just new here i need help with my homework here's the problem A cross skier skis 7.40 km in the direction 45° east of south then 2.80 km in the direction 30.0° north of east and finally 5.20 km in the direction 22.0° west of north . Find the resultant vector using...

How do you find the net force in vector addition, for example if I have F1 = 64 N @ 30 degrees and F2 = 45 N @ 45 degrees and F3 = 78 N @ 330 degrees how would I go about finding the net force?

Homework Statement We were given six homework assignments for lab. We were required to find the force and angle through three given experiments. 1. Experimental using a force table 2. Graphically using head to tail, etc 3. Analytical using basic means to find the answers...

EDIT: ****Nevermind, I just mis-typed everything into my calculator. I had to put my X and Y values in parenthesis - ie sqrt((29.47)^2 + (-5.32)^2)************** I *think* I am doing this right, but I can never get the right answer. Does anybody notice what is going wrong? The correct...

Hello, How do I use the graphical method of vector addition to determine the magnitude and direction of the resultant displacement? Just the steps on how to determine displacement vectors??

Homework Statement You will be hiking to a lake with some of your friends. the map says you will travel 1.6 mi north then 2.2 mi in a direction 35 degrees east of north, then finally 1.1 mi in a direction 15 degrees north of east. how far will you be from where you started and what direction...

1. For the vectors given in Fig. 3-32 (|A| = 64.0 and θ = 51.0°), determine the following. Find the magnitude and direction for each of the following : 1) A-B+C 2) A+B-C 3) C-A-B. heres a diagram with it: 2. The graph above should help, but I'm stuck on what to do 3. I basically...

What is vector addition?

Homework Statement Find the angle between the following vectors? A = -2.00i^ + 6.00j^ and B = 2.00i^ - 3.00j^ (the ^ means 'i hat') Homework Equations Theta = tan^-1 = (opposite/adjacent) The Attempt at a Solution i said for the first part of the component that theta(A)...

The magnitude of vector A is 35.1 units and points in the direction 301° counterclockwise from the positive x-axis. Calculate the x-component of this vector. So...35.1=sqrt(vx^2 + vy^2) and 301°= vy/vx How do I do this?

Vector A has a magnitude of 7.90 units and makes an angle of 43.0° counter-clockwise from the positive x-axis. Vector B has a magnitude of 8.00 units and is directed along the negative x-axis. (a) Find the vector sum vector A + vector B . Magnitude of vector A + vector B = ? units Direction...

Homework Statement the set R^(2) with the usual vector addition forms an abelian group. For a belongs to R and x=(x1,x2) belongs to R^(2) we put a *x :=(ax1,0),this defines a scalar multiplication R*R^2 ---R^2 (a,x)---a*x. determine which of the axioms defining a vector space hold for the...

Homework Statement Two forces are acting on a mass. One of the forces is a 40.0 N force and the other force is 30.0 N at the angles shown below: The magnitude of the force is: a) 15.3 N b) 15.6 N <-- correct answer c) 46.6 N d) 69.0 N Homework Equations Pythagorean Therom...

Hey guys. Long time lurker, first time poster. My teacher gave us this little problem a while ago to work on kind of as a brain teaser. He wanted the proof. I have never been too good a proofs so I never did it. I was going through my notebook and decided to see if you guys could help me, or...

I'm trying to do my physics homework but I am just not understanding this section on vectors. I don't even know where to begin or what equations to use. Any help would be greatly appreciated! a) On a rainy day, raindrops fall with a vertical velocity of 9.2 m/s. If a car drives through the...

HELP ! this problem is very very confusing T_T Three forces, each of which is perpendicular to the other two, act on an object. If the magnitudes of these forces are 6 N, 15 N, and 10 N, respectively, find the magnitude and direction of the resultant. (State the angles that the resultant...

I've been trying to derive the velocity addition rule for vectors. For the moment I'm just considering 2 spatial dimensions. The results I'm getting look rather nasty. For example, I got w_x=\frac{u_x+v_x+\frac{u_y}{u^2}(u_xv_y-u_yv_x)(1-\frac 1 \gamma)}{1+u_xv_x+u_yv_y} Does anyone have the...

Homework Statement Graphically add the following sets of vectors. (There is a group of 6 vectors labeled A-F. They have an assigned value and are at different angles, but the angle is not given) Homework Equations None? The Attempt at a Solution So my problem here is this. The...

Homework Statement You have a vector, labelled A, with the coordinates (2,1,1). Subtract vector B, coordinates (3,-1,4) from vector A. Homework Equations Take vector A, and flip vector B in the opposite direction. Line up vector B's tip to vector A's tail, and draw the new vector from...

The Problem: A car is driven 175 km west and then 80 km southwest (45°). What is the displacement of the car from the point of origin (magnitude and direction)? I have drawn myself a diagram, and I know you need to use the angles to help decide how much displacement, but I don't know how to...

Hi. I would appreciate some help with this point charge problem. I think I understand the general set up, but don't know where to go from there. Homework Statement Two point charges are placed on the x-axis as follows: Charge q1 = +4.00nC is at x=0.400m, and charge q2 = +2.00nC is at...

Vplane = 63km/hr at x degrees and direction Vwind = 47km/hr at 211 degrees Vg = unknown speed at 165 degrees find the unknowns my attempt using component method: (Cos 165)Vg = (Cos 211)47 + (Cos theta)63 (Sin 165)Vg = (Sin 211)47 + (Sin theta)63 from here i think I am supposed...

The velocity vector V1 has a magnitude of 4m/s and is directed along the +x-axis. The velocity vector V2 has a magnitude of 3m/s. The sum of the two is V3, so that V3 = V1+V2 (For each statement select T-True, or F-False; If the first is True and the rest F, enter TFFFFF). A) The magnitude...

Homework Statement Determine the vector that must be added to the sum of A + B in the given attachment to give a resultant displacement of (a) O and (b) 4.0 km [W]. In case anyone can't view the attachment, |A| is 5.1 km in length, 38 degrees N of E, and |B| is 6.8 km in length, 19 degrees E...

A car is driven 215 km west and then 85 km southwest. What is the displacement of the car from the point of origin? Shouldn't I be given an angle. Because it could be southwest at any angle. How would I do this? Thanks for the help.