Perpendicular Definition and 503 Threads

I'm trying to figure out if a given vector field is perpendicular at the surface of a sphere of radius R. The vector field is given in spherical coordinates. I initially attempted to take the cross product of the vector field with the normal vector at the surface of the sphere to see if it was...

Homework Statement Consider the two vectors: L = 4 i + 3 j + k and s = 6 i + 6 j + 8 k Find the value of the scalar α such that the vector L - αs is perpendicular to L. Homework Equations Dot Product: A \bullet B = |A||B| cos(theta) A \bullet B = AxBx i + AyBy j + AzBz k A \bullet A = (Ax^2...

Somebody posted a reference to Fermi Walker transport, maybe Ben Crowell, anyway, The first section here: http://en.wikipedia.org/wiki/Fermi-Walker_transport says: That's a new perspective for me. Can anyone help provide an intuitive explanation? I see the lower diagram on the...

Homework Statement Rocket A moves with speed .75c in a northerly direction relative to an origin. Rocket B moves west (relative to that origin) with speed .4c. As B moves, it emits radiation with a wavelength 100nm normal to its line of motion, in the northerly direction. What is the...

Homework Statement I have 2 (3d)vectors A and B and I want to find a vector C perpendicular to both of them. A = 3i-2j+4k B = -2i+5j-2k C = Cx+Cy+Cz Homework Equations So we know A dot C = 3Cx-2Cy+4Cz and B dot C = -2Cx+5Cy-2Cz The Attempt at a Solution

Homework Statement Given that a = (-1,16,-1) and b = (-18,-15,-15), find the unit vector which is perpendicular to the plane containing a and b. There are two possible answers. Choose the answer with a positive x component. Homework Equations (a*b) = (a2*b3-a3*b2)i -...

Find all vectors in R^4 that are perpendicular to the three coloumn vectors [1 1 1 1], [1 2 3 4], [1 9 9 7] sorry i don't know how to make them verticle guassian elimination or Ax=b I know that the dot product must equal 0 but I am not sure how to solve it

Homework Statement what is the relation between complex slopes of two perpendicular lines?? :think: Homework Equations The Attempt at a Solution i think it is same as the slopes of two st. lines that is the product shud be -1...but the answer given is sum of slopes is 0...

Find Unit Vector perpendicular to the Surface, x3+zx=1 at the point P=(1,2,-1) I figures that the perpendicular vector would be, N(X)=grad(x3+zx) = (3x2+z, 0, x) N(P)= (3,0,1) Then the unit vector would be, n=N(P)/||N(P)|| n=(3/51/2,0,1/51/2) The answer i get is not the...

Hello All, I am looking for a way to find a point on a line (eg. line 1). This line has a perpendicular which has an intersection with another line in 3d space (line 2). I have the coordinates of line 1 and 2 and their direction vectors (lines have an infinite length). I also have the...

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Homework Statement Homework Equations dot product a.b = lal.lblcostheta vectors are perpendicular when a.b = 0 The Attempt at a Solution OA . LA = 0 OA = OM + MA LA = LO + OA OA . LA = (OM+MA) . (LO + OA) = OM.LO + OM.OA + MA.LO + MA.OAi get stuck here

Homework Statement It is known that the curve C, x = 4t -2t^{2} -1, y = 2t^{3} - 1, z=3t^{2} -5 and the surface, x^{2}y + xz + 1 = 0 intersect at the point (1,1,-2). You need NOT show this. Prove that the curve is perpendicular to the surface at the point. Homework Equations...

Homework Statement I read that if the direction of velocity is perpendicular to the acceleration the magnitude doesn't change and if they are parallel the direction doesn't change and if they are neither both change but if we have v1=6i+8j ,|v1|=10 theta with positive x =53 v2 =10j...

If a mass takes a path down a slope of a parabola. The force downward is its weight. I need to resolve the perpendicular and parallel (to direction of motion) forces. y=ax^2+bx+c, it has a y intercept of h and a repeated root l. a>0. The mass slides from x=0 to x=l with no friction...

Homework Statement Given a vector A = 8i − 5j, find the vectors in the xy plane that are perpendicular to A and have a magnitude of 14. The Attempt at a Solution I can find the vector perpendicular to A quite easily. I'm having trouble finding the perpendicular line when it has the...

Homework Statement How would you find a vector perpendicular to (2,-1,1)? Homework Equations None. The Attempt at a Solution I tried saying (x,y,z) x (2,-1,1) = 1 (since sin90 max at 1) but have 3 unknowns, x, y and z so don't know how to get a numerical answer

Homework Statement consider an object moving in the x direction.(1) I f you were to apply a force perpendicular to the x direction, would the magnitude of the velocity of the object in the x direction change?(2) would the magnitude of the velocity in the y direction change.(3) if you were to...

Homework Statement Is it possible that there are two different tangent lines to this function that are perpendicular to each other? If so, find the equations of the two lines and show that they are tangent to ƒ(x) and perpendicular to each other. If not, show why it is not possible...

The main help i need is with this question: The perpendicular bisector of a straight line joining the points (3,2) and (5,6) meets the x-axis at A and the y at B. Prove that the distance AB is equal to 6root5. I just need to have theses checked to make sure there right, would love if you...

IVE TRIED EVERYTHING can someone please help me! i have 1 more try i keep getting it wrong i only can get the first one right pleasee help me!

A child of mass 22 kg swings at the end of an elastic cord. At the bottom of the swing, the child's velocity is horizontal, and the speed is 6 m/s. At this instant the cord is 3.70 m long. At this instant, what is the perpendicular component of the rate of change of the child's momentum...

Homework Statement Let A and B be vectors A = (2,-1,3) B = (1,4,1) a) Find unit vectors A' and B' parallel to A and B respectively. Done. b) Construct all the unit vectors C, orthogonal to A' and B'. Done. c) Construct a unit vector, D, such that C.D = 0. Isn't there an infinite...

Greetings, I am have a bit of a problem getting started on the following problem. The only thing that is confusing me is I am use to seeing a problem like this be perpendicular to 1 plane and not 2. The problem I am working with is as follows: Find the equation of a plane through the...

two long wires carry current and are at right angles to each other, but they do not touch. describe the force between them I found the magnetic field and force direction individually when one wire's current points north and the other east. I just don't quite understand the affect they have on...

How can acceleration be perpendicular to velocity at any given time? Is it because when ther is a circular path, there can be lines drawn tanget to the circular path that it follows? I don't understand!

pretty much this is all i was given. I have no idea how to even approach it. I do not need an answer (would be nice though), just an idea on how to go about starting it.

Hi, my first post here. Right. Spent the past hour searching all over for a clear explanation. In Circular Motion, or in general, the force perpendicular to the velocity vector changes only the direction and not the magnitude. Why is that so? My reasoning against goes like this - please...

If the magnitude of acceleration is constant, and acceleration is perpendicular to velocity, is speed constant? Also, is speed not constant when the magnitude of acceleration is not constant? How would I show this? I tried to do this: If position is p(t)=(x(t),y(t)), then velocity is...

Find parametric equations for the line through the point that is perpendicular to the given line, and intersects this line. We are given the point (0, 2, 2) and the line x = 1 + t, y = 2 - t, z = 2t. We are also given one of the parametric equations, that being x=3s. I am looking for...

A force on a moving object, in any direction other than direction of motion causes an overall change in velocity(both in magnitude and direction). Then in circular motion why does a perpendicular force applied change only direction and not magnitude. Is this because the force produces 0 velocity...

Given two vectors p and q, why is the vector (cross) product pxq perpendicular to the plane containing these vectors? Is there a geometric or physical way of explaining why? Are there any real life examples we can draw from?

In the prove of \vec{r}(t) \;&\; \vec{r}'(t) \; is perpendicular: \vec{r}(t) \;\cdot\; \vec{r}(t) \;=\; |\vec{r}(t)|^2 \;\Rightarrow\; \frac{d}{dt}[ \vec{r}(t) \;\cdot\; \vec{r}(t)] = \vec{r}(t) \;\cdot\; \vec{r}'(t) + \vec{r}(t) \;\cdot\; \vec{r}'(t) = \frac{d}{dt}[ |\vec{r}(t)|^2] The...

Homework Statement This question is part of a longer problem. I know the answer, but I don't know how they got their. Please provide a detailed explanation. Thanks. Question: Find the maximum speed perpendicular to the wave's direction of travel (the transverse speed). y(x,t)=2sin(4x-2t)...

Homework Statement Find the equation of the line that is perpendicular to the tangent line to the curve, y=(3x+1)/(4x-2) at the point (1,2) Homework Equations The Attempt at a Solution I am absolutely confused with this problem. I tried taking a derivative of the equation. And I...

so, i was told FM= qV + B sin\theta, where \theta=90 in order to get the full magnitude of the force but why is the electromagnetic force perpendicular to B? also, looking upon the right hand rule, if the positive charge is heading towards you, and subsequently the magnetic field is then...

Homework Statement Why is the force of a wire to another wire that is perpendicular to it zero? Homework Equations biot-savart law The Attempt at a Solution

Homework Statement A uniform line charge of linear charge density \lambda = 5.00 nC/m extends from x = 0 to x = 10m. The magnitude of the electric field at the point y = 12m on the perpendicular bisector of the finite line charge is? Homework Equations E = \intdE = \intk(dq) / r2 Ex =...

Homework Statement A solid has a circular base of radius r=4. Find in each case the volume of the solid if all intersection between the solid and a plane perpendicular to a set diameter is: a) A square b) A triangle rectangle isosceles which one of its sides is on the circular base. The...

For what value of a is the vector v=(-2,1,a) perpendicular to the plane z=6x-3y+4? i looked the book and my teacher's solution they are different so i just want to make sure i did this right... Vector v is perpendicular to the plane if it is parallel to the plane’s normal vector. A...

Hi, If i had a point mass moving with a velocity V in a certain direction (with constant speed), and a constant acceleration (or force) was acting perpendicular to it's velocity vector. From my understanding, the point mass' speed will not change, however it will begin to take a circular...

Homework Statement Hi, i don't know if you can help me but i am currently studying for my finals and i have come across a question which i am very confused about. i have looked it up in books but there seems to be no answer there. the question is Write down a vector of length 1 that is...

A plane has cartesian equation x-2y-5z=6. Give the co-ordinates of any point on this plane . Give in, parametric form, the equation of the straight line which is perpendicular to the plane and passes through your chosen point on the plane.. pls help ..

Homework Statement A circular loop carries a current I. It is placed in a constant magnetic field in such a way that the field lines are perpendicular to the plane of the circle. What is the force on the loop? Does the magnetic field have any effect on the loop described? Homework...

Given two vectors \vec{A} = - 2.00 \hat{ i } + 3.00 \hat{ j } + 4.00 \hat{k} and \vec{B} = 3.00 \hat{ i } + 1.00 \hat{ j } - 3.00 \hat{k}. Obtain a unit vector perpendicular to these two vectors. Express your answer as a unit vector N_unit in the form N_x, N_y, N_z where the x, y, and z...

Find the scalar equation of a plane that contains the point P(4,9,-3) and is perpendicular to the plane 3x - 5z + 3 = 0 I know that the normal vector of the given plane is 3,0,-5. I also know that in order for two planes to be perpendicular, their normal vectors must also be perpendicular. I...

Homework Statement Determine the Cartesian equation of the plane that is perpendicular to the yz-plane and has y-intercept 4 and z-intercept -2. Homework Equations ? The Attempt at a Solution I'm pretty sure that the normal to the plane I want to find would be (0,1,1). A...

Homework Statement The two lines L1: r = (-1,1,0)+ s(2,1,-1) and L2: r = (2,1,2) + t(2,1,-1) are parallel but do not coincide. The point A(5,4,-3) is on L1. Determine the coordinates of a point B on L2 such that vector AB is perpendicular to L2. Homework Equations ? The Attempt at...

Does skin that is perpendicular to the sun’s rays burns faster than skin that is closer to parallel to the sun’s rays? I was certain that it does but a very smart friend/engineer is certain that it doesn’t and was incredulous that I thought it did. I really would like to know the physics...

Hi, I'm reading this piece from George Cain & James Harod's multivariable calculus material. Section 4.3, which is about Torsion, says this: I don't understand how he deduces dB/ds is perpendicular to T? Where did I get lost? Following the paragraph, it seems to me that T and N...