Addition Definition and 641 Threads

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 guys. I have issues understanding a rather simple physics concept and I hope you can help me out. I've tried asking help from several people, but nobody was able to isolate the problem. For constant acceleration, it is said that d=(Vi+Vf)/2*t. d being distance, Vi is initial velocity...

Homework Statement Is \mathbb{R} under addition isomorphic to \mathbb{R}\backslash{0} under multiplication? The Attempt at a Solution It is true that \mathbb{R} under addition is isomorphic to \mathbb{R}_{>0} under multiplication, by using the bijection \phi ...

Homework Statement 1. Show that the set M of symetric matrices is closed under addition and scalar multiplication. 2. Show that the set W diagonal matrices is not closed under addition and scalar multiplication. 3. Show that the set W of matrices such that transpose(A) = -A is closed under...

Homework Statement Prove that Z with the following addition and subtraction is a ring. Homework Equations a\oplusb = a + b - 1 and a\odotb = ab - (a + b) + 2 The Attempt at a Solution I proved all the axioms for addition. I'm stuck on the multiplication part...

Homework Statement I am trying to calculate the angular momenta for \psi(x,y,z) = A(ar^2 + bz^2) A is given as a constant. Homework Equations The Attempt at a Solution I know that z=r\sqrt{4\pi/3} * Y_0^1 What I have so far is:- \psi(x,y,z) = r^2Aa +...

Homework Statement Prove: If a and b are in N the [(1,1+a)] + [(1,1+b)] = [(1,1+a+b)] Homework Equations Definition: We define + over Z as follows: if [(a,b)] and [(c,d)] are any two equivalence classes, we define [(a,b)] + [(c,d)] = [(a+c,b+d)]. The Attempt at a Solution So...

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?

A calculator has an eight -digit display and a decimal point that is located at the extreme right of the number displayed, at the extreme left or between any pair of digits. The calculator can also display a minus sign at the etreme left of the number. How many distinct numbers can the...

I know how to add speed in special relativity. v=\frac{u+v'}{1-\frac{uv'}{c^2}} Is this a vector thus velocity? Or does this only apply to objects traveling on the same axis? Judging from the way it's derived, I really think that it only applies to objects on the same axis. What if I want...

Homework Statement Show that if \alpha and \beta are Dedekind cuts then so is \alpha + \beta={r1+r2: r1 \epsilon \alpha and r2\epsilon\beta Homework Equations The Attempt at a Solution If a dedekind cut is a cut whereby the sets on the left side of the cut and the right side of...

Homework Statement A rocket is traveling at speed V along the x-axis of frame S. It emits a signal (for example, a pulse of light) that travels with speed c along the y prime axis of the rocket's rest frame S prime. What is the speed of the signal as measured in S? Homework Equations...

Find the Laurent Series around z=0 for f(z) = \frac{{2{z^2}}}{{2{z^2} - 5z + 2}} + \sin (\frac{3}{{{z^2}}}), so that the series absolutely converges in z = -i The Attempt at a Solution The singularities of f are z = 0, z = 1/2 and z=2. The Laurent series will converge absolutely in z = -i...

Homework Statement Not an actual problem, but to help solve my homework, would cos(A+B+C)= CosACosBCosC-SinASinBSinC (Cos(x+y)=cosxcoxy-sinxsiny) I was unsure if this can be applied to multiple digits or only 2. I know I could plug in numbers to test, but I was wondering about...

Hi guys, I'm trying to figure out a way to split up integers so I can do addition the old school way in Java. E.g.: 1234 1234 +_____ 2468 So you know start at the 4's and then add them up and move left etc. Does anyone have any ideas on how I access the different digits of...

Homework Statement The concentration of retinol (vitamin A) in serum was determined by HPLC with UV absorbance detection. A 1.00 mL sample of serum was placed in a 10 mL test tube. To precipitate the proteins, 800.0 microL of ethanol was added, and the test tube was agitated. Next, a 2.00 mL...

Homework Statement The Enterorise NCC1701 is cruising 0.6c above the moon of Eridani when it spots a Klingon warbird sunwards. i. It fires a proton torpedo at speed 0.75c relative to the ship at the Klingon warbird. Assuming the proton torpedo does not accelerate, at what velocity must the...

Homework Statement A proton and an antiproton are moving toward each other in a head-on collision. If each has a speed of 0.8c with respect to the collision point, how fast are they moving with respect to each other? Homework Equations Ux = [U'x + V] / [1 + (v/c^2) Ux'] The...

Homework Statement A vector A has a magnitude of 56.0 m and points in a direction 20.0° below the positive x axis. A second vector, B, has a magnitude of 70.0 m and points in a direction 45.0° above the positive x axis. Using the component method of vector addition, find the magnitude and...

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...

I was thinking about postponing my graduation one year to get a BS in Applied Mathematics in addition to my Physics BS. My goal is to get into a top Medical Physics program. I am currently a member of a Medical Physics research group here at my school and have impressed my advisor. He thinks...

still don`t have an answer i can understand. If a moving emitter moves at .99 c, does the lead photon move away from the emitter such that it is c x time away from the emitter at any point in time? (not asking about the original position of the emitter when it emitted)

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...

I am just a beginner in Signals and systems... In signal addition when we add two signals for example u(t) and u(-t), we are supposed to just add the values of both the signals at each and every point to get the sum,right? so in the case of u(t)+u(-t), what will be the sum value at t=0? Is it...

What is vector addition?

I saw the technique of using a mathematical system called the "Four minute clock". Basically, the clock has 4 numbers, 0, 1, 2 and 3, and only one hand. We can make a summation table which will look like the image attached. According to the text, if there is symmetry (reflection) across the...

Let's say there are two observers A and C. C is moving .5c with respect to A. If we introduce a third observer which we will call B and B is moving at .2c with respect to A and is moving in the same direction as C and is inbetween A and C, and we now apply the velocity addition formula we get...

Homework Statement Prove that cis(x1 - x2) - cis(x2 - x1) = 2cos(x1 - x2) The Attempt at a Solution Cis is a sin-and-cos summation. Shortly, cisx = cosx + isinx How can you prove the statement?

multiplication and addition principle for count possibilities??/ we toss a fair coin 5 times and recored the sequence of head and tails obtained.how may sequences are possible that start with head OR end with head.? so what i did was using addition theorm i divided this complex process...

Homework Statement An electron moves to the right in a laboratory accelerator with a speed of 0.822c. A second electron in a different accelerator moves to the left with a speed of 0.424c relative to the first electron. Calculate the speed of the second electron (in c) relative to the lab. Do...

Homework Statement How many moles of solid sodium fluoride should be added to 1.0 L of a saturated solution of barium fluoride, BaF2, at 25OC to raise the fluoride concentration to 3.0 x 10-2 mol/L? The solubility product constant for BaF2 is Ksp = 1.7 x 10-6 at 25OC. The Attempt at a...

Homework Statement 1, Express x = 3sin3t + 5cos3t in the form of x=Rsin(3t + ø) 2, Express x = 2sin(0.5t + 3) + 3cos(0.5t + 1) in the form x = Rsin(0.5t + ø) All working must be done in radians. Homework Equations Sine and Cosine Addition Formulae sin(A + B) = sinAcosB +...

Consider frame S1 and another frame S2 moving with a velocity v with respect to S1 along +X direction. Consider a photon comes in -X direction. Velocity of photon in S1 is c.I would like to find the velocity of light in S2 from S1 without forgetting length contraction and time dilation as...

I have to prove that for all k,m,n \in N that if m+k = n+k, then m=n. The problem mentions that I must prove this by induction. I did the base case k = 0: If m+0 = n+0, by identity m=n. Then I attempt to show that m+1 = n+1 implies m=n, but I am stuck, I don't see how induction can be...

A 3+1-dimensional Lorentz transformation can be written as \Lambda=\gamma\begin{pmatrix}1 & -v^T\beta \\ -v & \beta\end{pmatrix} where v is a 3×1 matrix representing the velocity difference, \gamma=1/\sqrt{1-v^2}, and \beta is a 3×3 matrix that's orthogonal when v=0. When \beta=I, \Lambda is...

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)...

Homework Statement Let S={A (element) M2(R) : det(A) = 0} (b) Give an explicit example illustrating that S is not closed under matrix addition.Homework Equations The Attempt at a Solution 1) I think that the problem is saying S is a set of 2x2 matrices, whose determinant is zero? 2) I'm...

Can such irrationals like \sqrt{2}, \pi, e ever be added/subtracted to another irrational to give a rational result? This would have to exclude such occurences like: \sqrt{2}+(1-\sqrt{2}) and less obvious irrationals that - for their irrational parts - can be expressed as the negative of the...

Hi everyone, I just wanted to let you know about this new addition the Philosophy Forum guidelines. https://www.physicsforums.com/showthread.php?t=47294 The intent is not to become obnoxiously strict "grammar police" here, but to create standards that will facilitate communication. We have...

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 I just wanted to know if I wrote the answer with the correct number of significant figures for this addition problem. 0.00015 M + 0.00004 M + 0.00011 M = 0.00030 M (Correct?) Homework Equations See above. 0.00015 M + 0.00004 M + 0.00011 M = ? The...

This should be simple, I've already solved several problems just like this one but it won't come out right however i try... apologies in advance for non-native english. Homework Statement In a 3-dimensional coordinate system, a hook is placed in A=(0,0,3). Two lines connect the hook down to...

Homework Statement Consider 1L of a solution that is 0.100 M in acetic acid and 0.100 M in sodium acetate. What will the pH be, when 0.0900 mol of sodium acetate are added? Ignore changes in volume. acetic acid pka = 1.75 E-5 Homework Equations HA --> H+ + A- pH=pka +log A-/HA...

Additive velocities. If a car is traveling down a road at velocitiy u wrt the road and fires bullets in the forward and backward directions relative to the direction of travel at velocities v and -v respectively wrt the car,, then it is self evident that as measured in the coordinates of...

I know about the addition of velocities for SR v = (v1+v2)/(1-v1*v2/c^2). This equations is derived using Lorentz transformations. How do I derive the addition of velocity formula for particles in a non-inertial frame? Can I just add gammas? u = (u1+u2)/(1-u1*u2/u0^2) where u1 = gamma*v1 u2 =...

What exactly is the "addition of subspaces?" It is obviously not the same as the "union of subspaces," since the union of subspaces A and B in V is a subspace of V only if A is contained in B (or B is contained in A).