Vector addition Definition and 182 Threads

My question is about vector addition in cylindrical coordinates: Let A = 2x + y, B = x + 2y. In rectangular coordinates, AB = B-A = -x+y In cylindrical coordinates, x=rcosθ + θsinθ, y=rsinθ + θcosθ A =Axx + Ayy, B =Bxx + Byy Ar = Ax(x.r) + Bx(y.r)=2.236, Aθ = 0. So A = 2.236r Br...

Homework Statement I'm having trouble with a word problem involving the parallelogram law of vector addition. The problem reads as follows: Two forces with magnitudes 8N and 11N act on a large object. The angle between the forces is 30 degrees. a) Draw a diagram to represent the combined...

[SOLVED] Vector Addition Homework Statement Find the angle between two vector forces of equal magnitude, such that the resultant is one-third as much as either of the original forces.Homework Equations Pythagorean Theorom, I assumeThe Attempt at a Solution This is from Schaum's 3000 Problems...

I got a problem on a homework but the wording is kind of confusing and i don't know how to place it down on paper in a way that i can solve it...thanks for all the help..it looks basic, I find the Problem in weather its B+C=7i+5j or B+C=C being b+(7i+5j)=C 1: A vector, B, when added to the...

The problem I'm trying to solve involves the effect that two charges has on a third and I need to find the magnitude of the resulting force. In this particular problem it's the effect of A and B on C. The work I've done so far is attached so please take a look. I've been trying to add...

Homework Statement Which of following sets of conditions (A - F), if true, would show that the expressions 1 and 2 above define the same vector C_vec as expressions 3 and 4? 1. The two pairs of expressions give the same length and direction for C_vec. 2. The two pairs of...

Homework Statement Two positive charges = = 2.0 are located at = 0, = 0.30 and = 0, = -0.30 , respectively. Third point charge = 4.0 is located at = 0.40 , = 0.What is the net force ((a)magnitude and (b)direction) on charge exerted by the other two charges? Homework Equations Columbs...

a. 2cm N + cm W b. 5m S+ 8cm N c. 30m/s W+ 50m/s S d. 5cm N + 7cm W +9cm S My answers: a.7.2 b.9.43 c.58 d.? I want to know if a,b, and c are right; I don't know d.

Homework Statement A 5.0 Kg block at rest on a frictionless surface is acted on by forces F1= 5.5N and F2= 3.5N, as illustrated in the figure. A) What additional force (in unit vector notation) is required to keep the block at rest? B) What additional force (in unit vector notation) is...

I don't understand this, can someone help?: What is an example of a subset of R^2 which is closed under vector addition and taking additive inverses which is not a subspace of R^2? R, in this question, is the real numbers. Thanks!

Homework Statement Given: \vec{A}=(6.0\hat{i} - 8.0\hat{j}) \vec{B}=(-8.0\hat{i} + 3.0\hat{j}) \vec{C}=(26.0\hat{i} + 19.0\hat{j}) If aA+bB+C=0, what are the magnitudes of a and b? Homework Equations The Attempt at a Solution a(6.0\hat{i} - 8.0\hat{j}) + b(-8.0\hat{i} +...

Homework Statement I am not sure where I am having trouble here. A car id driven 125km west and then 95km southwest. What is the mag and direction of displacement?Homework Equations Triangle method says that if I draw the vectors from tip to tail, the displacement vector is the vector that...

[SOLVED] Vector addition ]Homework Statement (a) Express the vectors A, B, and C in the figure below in terms of unit vectors. (b) Use unit vector notation to find the vectors R = A + B + C and S = C – A – B. (c) What are the magnitude and directions of vectors R and S? Homework...

vector A= (2,-1,1) vec. B = ( 3, 0, 5) vec. C = (1,4,-2) what is 2A + 3(B+C) this is what i did: 2A = 2(2,-1,1) = (4,-2, 2) (B+C) = (4,4,3) x 3 = (12,12, 9) 2A + 3(B+C) = (16,10,11) is this the correct way to think and do this problem?

If B is added to C = 2.5 i + 3.5 j, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of C. What is the magnitude of B? I have tried 0, which seems to make sense to me, but it is wrong. and I don't know if it means b+c=2.5i+3.5j or if b=? and...

Homework Statement A roller coaster moves 200 ft horizontally and then rises 135 ft at an angle of 30* above the horizontal. It then travels 135 ft at an angel of 40* downward. What is its displacement from its starting point? Homework Equations Standard trig, I guess. The Attempt...

Homework Statement During a rodeo, a clown runs 8.0 m north, turns 55 degrees north of east, and runs 3.5 m. Then, after waiting for the bull to come near, the clown turns due east and runs 5.0 m to exit the arena. What is the clown's total displacement? The Attempt at a Solution I drew a...

I have a question on 'vector addition'. I know that resultant is the sum of two or more vectors. But this sum doesn't mean the sum of magnitudes of two or more vectors, right? So what does that 'sum' refer to? Combined effect? Hope you can answer my question, thanks.

Homework Statement Particle is at (9, 4) on coordinate plane. Initial velocity: 5.5 x - 7 y Acceleration: 1 x + 8.5 y Time: 1.5s 1: What is the x-component of velocity after that 1.5s? 2: Y-component? 3: Magnitude from origin of graph? Homework Equations sqrt(x^2 + y^2) for magnitude...

Homework Statement Particle has two displacements. 1 - 11m, 89 degrees 2 - ? 1+2 - 8.6m, 129 degrees So: 1 = (11, 89°) 2 = ? 1+2 = (8.6, 129°) Homework Equations X-component = M x cos(Θ) Y-component = M x sin(Θ) Total magnitude = sqrt((total x-component)² + (total y-component)²) Total...

just a quick question, I've never dealt with vectors before, they say you are simply supposed to add them, the same way you would add any two numbers, ie: a + b = c yet whenever they add two vectors, they end up with a different sum.. ie: 1m + 2.5m = 7m this seems so simple, what am I...

Man, my online physics course sucks. Every time there is a lab or an assignment, it's on stuff I haven't done, lol. Anyway I have an angle of 155 degrees separating one 18 N vector going 85 degrees northwest, and another vector going about 60 degrees southwest. The other angle is 12 N. I...

My girlfriend had this problem on her first tutorial sheet at Univeristy. She is doing maths. I am doing physics and was interested in the answer. It asked what the result was when a displacement vector was added to a velocity vector. The vector addition can obviously be done on these two...

Hi, The question is: The components of a vector V can be written as (V(x), V(y), V(z)). What are the components and length of a vector which is the sum of the two vectors, V(1) amd V(2). whose components are (8.0. -3.7,0.0) and (3.9,-8.1,-4.4)? Work For the components V(x)=...

Q. All four of the vectors below are added to vector E. Positive angles are measured counter-clockwise from the x axis. A = 2 m î + 3 m ĵ B = -7 m î -10 m ĵ C = 3 m at 62 ° D = 8 m at -226 ° a) What is C·D? C.D = |C| |D| cos theta I did this. 3* cos 62 + 8 cos -226 , but...

a horse pulls a barge along a canal using a rope 10m long. if the barge is 2m from the bank, the rope is taught and the tension in it is 500N. what are the components of this force at right angles to the canal? i worked this out to be 99.7N i used 500 x sin 11.5 (the angle between the rope...

--An airplane flies at 300 km/hr with a heading of 35* south of west, as a 78 km/hr wind blows in the direction of 55* south of east. The resultant velocity of the plane is... --A force of 85 N S50*E, a force of 50 N N45*E, and a force of 70 N N30*W act concurrently on an object. Draw a...

help me please! 1.a car drives straight off the edge of a cliff that is 55m high. the police at the scene of the accident note that the point of impact is 126m from the base of the cliff. how fast was the car traveling when it went over the cliff? I just need a hint of where to start...

I need help getting in the right direction... Two forces have the same magnitude F. What is the angle between the two vectors if their sum has a magnitude of 2*F? sqrt(2)*F? zero?

Hi again, I have what is seems to be a simple vector addition problem, but I am questioning a certain part of it. I would show a diagram but I can't at the moment as the computer I am on does not have a drawing program. It should be fairly easy to picture though. The base of the drawing is...

In class today we had a brief lesson on vector addition. I understand how to calculate the resultant when given a magnitude and angle measurent for each vector, but my teacher gave me no other examples. I have tons of homework problems that do not give me this information, but I am expected to...

Hello...I really want to make a program that can do vector addition and subtraction, given two or more vectors. The problem is, I'm not sure of the math that would be needed to do it. See, I want the person to be able to enter two or more vectors with a magnitude (length) and angle (with 0...