Angles Definition and 892 Threads

I'm given the following matrix equation: I'm also given: We're supposed to show that the angle between any two of these wave functions is 109.5 (characteristic of sp3 hybridization). I assume I need to calculate the expectation values of x, y and z and then use the dot product, but I'm at...

Prove that the acute angle \gamma between the z axis and the normal to the surface F(x,y,z)=0 at any point is given by sec \gamma = \frac{\sqrt{F_x^2 +F_y^2+F_z^2}}{|F_z|}} Where i am having trouble is that i do not know what this surface is, can someone help clarify what the surface is. thanks

Unless r and F are perpendicular, there are always two angles between their directions that give the same torque for given magnitudes of r and F. Explain why? Perhaps I cannot visualize the question, but I cannot see how this can be. As the force moves to the perpendicular position the...

Basic angles of refraction and incidence help needed (help still needed) I feel silly for even asking this, but here goes. http://img501.imageshack.us/img501/905/refractionpuzzlerg2.gif The triangle represents a glass prism. The refractive index between air and the prism is 1.55. The...

I have a take home quiz for my physics class. Out of the 10 questions I have answered 7 of them, whether they are right I don't know. First and foremost I need help on the ones I haven't solved yet. I am not necessarily looking for someone to give me the answers, but rather help me setup the...

I have a take home quiz for my physics class. Out of the 10 questions I have answered 7 of them, whether they are right I don't know. First and foremost I need help on the ones I haven't solved yet. I am not necessarily looking for someone to give me the answers, but rather help me setup the...

A simple pendulum consists of a ball suspended by a string from the ceiling. (Treat the ball as a point particle.) The string, with its top end fixed, has negligible mass, and is non-stretchy. In the absence of air resistance, the system swings back and forth in a vertical plane. If the string...

In a playground, two slides have different angles of incline theta1 and theta2 (theta2 > theta1). A child slides down the first at constant speed; on the second, his acceleration down the slide is a. Assume the coefficient of kinetic friction is the same for both slides. (a) Find a in terms of...

A projectile is fired horizontally from a gun that is 53.0 m above flat ground. The muzzle velocity is 235 m/s. How long does the projectile remain in the air? All of the practice problems in my book are given an angle to work with. For some reason I'm having a hard time starting this...

I'm looking for a method to rotate a 3D vector, and place it at an arbitary 3D point (x,y,z) without changing the vectors magnitude. I have briefly investigated eulers angles (mainly through wikipedia links etc), but don't fully understand the process yet. As an example, given the vector ...

Hi there- I've been trying to solve this problem for the last hour, and I still feel stuck! So far, I've only seen problems with equal angles between the strings and the horizontal- I have no idea how to solve a problem when there's two different angles! A 45-N lithograph is supported by two...

HELP! This has to do with magnitude, resultant, and angles! Please answer! This is due by 10:30 p.m. so please help me by then!:cry: here it is: 3. [Giancoli6 3.P.010.] Three vectors are shown in Fig. 3-32 (A = 68.0 , B = 54.0°). Their magnitudes are given in arbitrary units. Determine...

http://s14.photobucket.com/albums/a348/Drakhys-2/?action=view&current=scan.jpg How would I prove that angle 2 is twice the size of angle 1? thankyou, Vash.

"The lower part of a 2.0 meters high road sign is at a distance of 4.0 meters from the car drivers eyes. It's difficult to read the sign at such a distance, as well as when the distance is too short. Investigate how the angle varies when the car is approaching on a straight road. At what...

Why is it that the refracted angle > the incident when light moves from a more dense material to a less dense? Is there any way to explain why the angle would be greater? I know the velocity would increase. Wavelenght increases. Frequency remains the same. Correct?

Hello everyone, In my continuing pursuit of understanding of oscillator circuits, I came up with this question and was wondering if anyone here could give me some insight on this. I drew a picture to help me explain the idea but I would like to know what would happen if you have an inductor...

Hi, can someone please help me out? I need to know if I can draw any conclusions from the following. There is a quadrilateral such that two 'opposite' internal angles are 90 degrees. Is there anything that I can say about the line segment joining the two vertices of the quadrilateral which...

A quick look through the FAQ and search didn't reveal anything so... I know that K.e. = ½MV², however I am looking to find the energy of an impact when φ != 90°. Or to the more specific problem, if I have a Spaceship shaped like a needle moving through space at .9c(Vnet) and a micrometor hits...

The questions asks me to "Find the measure of each interior angle for a regular triangle. Then Round to the nearest tenth if necessary" So, the solution of the measures of the interior angles of a triangle is 180 degrees. There's 3 angles. So each angle = 60. So all i really want to...

SO i have a problem that's "AB ll CD, Find x and y". I got the answer of x=48, =144 Because first the measure they already gave you was 42. As well as y - 12for the other angle measure. And x was the measurement for D. blah it's too hard to explain but i got it correct. My point is that in...

Anybody know where to find a listing of the Spherical Interior Angles for Regular and Archimedean Solids. For example on a Buckyball (Archimedean Solid - truncated dodecahedron) should have angles: A: Angle between vertexes (length of Edges in radians) B: Angle from center Hexagon to...

Hi, I would like to see the resemblance between planet Earth and a spherical top. I draw here the x-convention Euler angles as I know them: 24 hours to complete one complete one revolution around it's own z' axes. And the 23.5° Earth axes revolves around the "sun's z axes" - the line...

Given the right ascension and declination of two objects in the sky. Is there a way to calculate the angle between them? If so, do right ascension and declination need to be converted to radians or can they retain their units?

Ok I just can't see this questions I don't want an answer I just whant an explation on how to do it. if you can respond today it would be great thanks! an simple drawing like I did would be great thanks! a block weighing 100 Newtons is positioned on a incline that makes an angle of 30 degrees...

Right I have been given the following problem and cannot resolve it. I have had an attempt but without much success. Could anyone help me with this exercise, please? Hints or a little more welcome :-) A cyclic hexagon is a hexagon whose vertices all lie on the circumference of a circle...

Hey everybody! Thanks for any help! If I am told a line has direction angles of 60, 45 and 60 and passes through the point (-2, 1, 3). How would I go about figuring out the symmetric equations of the line.. Relatively simple question but I am a tad confused. HELP! THANKS AGAIN!

I've been working at proving these identites and I just can't seem to figure them out, some of them just come to me others I work on them for 10 mintues or more and just get more and more bogged down.:frown: 1) csc2x + cot2x = cotx so far i have 1/sin2x + cos2x/sin2x = cosx/sinx...

i have been given the following problem from everyone's favorite, mastering physics. "The Great Sandini is a circus performer with mass 60.0 kg who is shot from a cannon (actually a spring gun). You don't find many men of his caliber, so you help him design a new gun. This new gun has a very...

A 17 kg block is at rest on an incline with angle 33. The coefficients of static and kinetic friction are 0.7 and0 0.59, respectively. The acceleration of gravity is 9.8m/s^2. 1) What is the frictional force actin on the 17kg mass? 2) What is the larges angle the incline can have so...

When I was looking at a tetrahedral molecular structure, a question arose. In that molecule, there are 4 atoms placed around a sphere, where the bond angle between any two is 109.5o. How could I show that? It's not part of the homework, but I'm just wondering how to find the angle if you have...

I have another thread for another problem, but no one seems to be responding about this second problem, so i'll post it here. Need to find the magnitude and direction/space angles of the resultant couple moment of two valve handles being turned, as pictured...

Hi folks, I'm hoping for a little help with something which I'm sure should be pretty easy... but I don't have access to any kind of maths textbooks to look anything up, sadly, so I'm hoping you guys might help? Let's consider a point P on the surface of a sphere, and define Vo as the unit...

hi i want to know what is cordinate system and how to find angle b/w two connected lines

hi i want to know at what angles aeroplenes move left and rights please if there is any equations related to this provide me

-how to predict the bond angles of ions/molecules...how?

im having trouble determining the angles of phi in spherical coordinates when asked to convert a triple integral into spherical, and find the limits of the phi integral. can anybody point out any hints/tips/tricks how this may be done??Please...i have an exam tomorrow and I am tryn to prepare...

a straight footpath makes an angle of aplha with the horizontal. an object P of weight 1250N rests on footpath. the coefficient of friction is 0.1. the least magnitude of a force, acting up the footpath, which will hold the object at rest on the footpath is 50N. by treating the object as a...

Hey If anyone has time or can point me to a link, I am low in math skills and need to know how to calculate compound angles. I am a 3D animator also and there is a lot of use where Trig. is helpfull but I have no Idea how to figure what any of these things mean or the context in which they are...

Hi people, what is meant by sine, cosine, tangent angles, apart from their general definition of opp side/ hypo side; adj side/ hyp side and so on? how are these sine, cosines and tangent angles invented by humans?

http://img298.echo.cx/img298/2145/pentagon8zw.png ABCDE is a regular pentagon, in the previous question I worked out angle AEB to be 36°.. the next question has asked to prove that BCDE is a trapezium but I don't know how to. I figured it might be to do with showing that the sum of the angles in...

THE SUM OF ALL ANGLES IN TRIANGLE IS 180 DEGREE THE SUM OF ALL ANGLES IN TRIANGLE IS 181 DEGREE ONE OF THE STATEMENT IS FALSE PLEASE IGNORE SPELLING AND GRAMMATICAL ERROR(S) Which statement is false?

Find all the angles from 0^{\circ} to 360^{\circ} inclusive which satisfy the equation $ \tan(x-30^{\circ}) - \tan 50^{\circ} = 0

Dear Friends, I've read about quaternions, and they can be expresed in 4 terms or in angles like this: a + ib + jc + kd = cos \theta + \vec{v} sin \theta Quaternions are a generalization of the complex numbers, but in 3D. My question is about angles. For example, with a complex...

Hi everybody, I would need to find the lorentz transform for angles from primed to unprimed system. Could someone help fast? Thanks a bunch, best, Lorentzf

im having trouble setting my TI-83 Plus into "degree mode" so i can't seem to get the answers for these problems...im probably doing them wrong too A material has an index of refraction of 1.75. What is the critical angle for this material? Sin(critical angle)=1/n, n being the index of...

So I have ball 'A' with mass 0.10 kg and velocity 1.4 m/s is traveling towards stationary ball 'C' with mass 0.10 kg. Ball 'C' is struck by ball 'A' and shoots off at an angle of 30 degrees to the x-axis, landing on the floor 1.20 meters below. I figured the time it takes the ball to hit the...

I am not sure how to form a coherent question about this; I can't figure out how to phrase it: Why are our three dimensions all at 90 degrees to each other? Drat, I can't even form the question. I've been reading about extra dimensions, such as the further 6 postulated in string theory...

A corner reflector is to be made from a triangular prism with index of refraction n=2.56, as shown in the diagram on your assignment. What is the maximum angle (in °), with respect to the normal to the front surface of the prism, (theta), such that total reflection will occur? Ok this must be...

There is a work question which I am having difficulty getting. A 35-kg trunks is dragged 10 m up a ramp inclined at an angle of 12 degrees to the horizontal by a force of 90 N applied at an angle of 20 degrees to the ramp. At the top of the ramp, the trunk is dragged horizontally another 15...

I have to prove that a/\sin\alpha =b/\sin\beta. A triangle has sides "a", "b", "c" and angles \alpha and \beta (opposite of the sides "a" and "b" respectively). This is what I did: Draw a line "h" as the height of the triangle on the side "c". \sin\alpha = h/b. Multiplying by "b" gives...