Perpendicular Definition and 503 Threads

Homework Statement I'm given a vector (x,y,\alpha) (cant state exact number cause of plagarism). I have to find the value of \alpha which make the vector perpendicular to a plane. I also have 2 other vectors that are parallel to the plane. Homework Equations dot product. The...

Homework Statement Two clay balls of the same mass stick together in an completely inelastic collision. Before the collision, one travels at 5.6 m/s and the other at 7.8 m/s, and their paths of motion are perpendicular. If the mass of each ball is 0.24 kg, what is the magnitude of the...

Homework Statement A smooth uniform rod AB, of length 3a and weight 2w, is pivoted at A so that it can rotate in a vertical plane. A light ring is free to slide along the rod. A light inextensible string is attached to the ring and passes over a fixed smooth peg at a point C, a height 4a...

Homework Statement Let L be the line in R^3 spanned by v1=(1,1,1) Find a basis (v2,v3) for the plane perpendicular to L, and verify that B=(v1,v2,v3) is a basis for R^3. Homework Equations The Attempt at a Solution I know that if two vectors are perpendicular or orthogonal that...

The vertices of a triangle are A(4;2) ; B(11;6) ; C(-3;-1) What is the equation of the perpendicular bisector of side a? (i think -7x+14y=7) What is the equation of the altitude of side c? (i think -4x+7y=5) What is the intersection of the previous lines? i have no idea about this,please...

Homework Statement Suppose T is a Mobius map take Real -> Real and infinite infinitely to 0 a) What's the image of the family of lines parallel to Real? b) What's the image of the family of lines perpendicular to Real? c) Show the Mobius map take D = {z :|z|<1} onto itself iff Tz =...

a)Find the equation of the tangent plane to the graph z = x2 + 4y2 at the point (a, b, a2 + 4b2) b) For what values of a and b is the tangent plane perpendicular to the vector (3, -4, 2)? I figured you have to use the tangent plane equation z - zo = zx(a,b)(x-a) + zy(a,b)(y-b). This gave me...

Show that (ai+bj)and (-bi+aj) are perpendicular... im clueless on what to do ..any hints will be greatly apperciated thanks I know I am missing something really simple Also the book has not yet introduced the scalar product so they want me to use some other way

Homework Statement Give an example of a vector perpendicular to [6,2,3] that has the same length.Homework Equations Distance formula between two points on a 3D plane: Sqrt[(X1-X2)2 + (Y1-Y2)2 + (Z1-Z2)2]The Attempt at a Solution In 2D space, the perpendicular vector of [X,Y] is [-Y,X]...

For example, if one end of a rope is attached to a wall, and the other end is attached to the floor (at an angle), if I pull straight up on the rope, would that exert a force on the wall?

Homework Statement Suppose that a straight line L1 passes through the point (2, 1, 2), and is perpendicular to another line which is given by L2(t) = (1 + t, 2 + t, 3 - t); -inf < t < inf Suppose that L1 and L2 intersects at a point (a, b, c): Find (a, b, c): Homework Equations Dot...

I was doing some practice problems on physics classroom website and this is one I think is wrong. A plane flies northwest out of O'Hare Airport in Chicago at a speed of 400 km/hr in a direction of 150 degrees (i.e., 30 degrees north of west). The Canadian border is located a distance of 1500...

A very simple and noob question, sorry for this. Looking at http://en.wikipedia.org/wiki/Perpendicular I found that two lines are perpendicular if and only if the product of their slopes is -1. If I have two lines described by the following equations: y = ax + b g = cx + d then...

1. Find the equation of the plane containing the line (x,y,z)=(5+4t, -5-3t,2) and perpendicular to the line (x,y,z)=(2-3t,3-4t,5+7t). Homework Equations Cross product? Dot product? Ax+By+Cz=D? The Attempt at a Solution I'm really new with this material and any aid would be...

Homework Statement Find a vector u that is parallel to the yz-plane and perpendicular to the vector v=<5,0,4>. 2. The attempt at a solution I first tried to find a unit vector parallel to the yz-plane, I then crossed this vector with vector v, but then I remembered that the...

Using this diagram as an example http://img25.imageshack.us/img25/231/diagramig.jpg would I be right in assuming that the relative velocity of the boat with respect to the velocity of the current is the speed at which its moving away from say a stone floating down the river? In other words the...

Homework Statement Find two straight lines that are perpendicular to y=0.25x and tangent to the curve f(x) = 1/x. Homework Equations y=0.25x f(x) = 1/x. The Attempt at a Solution What I did was equate y and f(x) and determined when they equal which is 2 and -2. The points are (2, 1/2) and...

Homework Statement Find a unit vector which is perpendicular to both of the vectors a = 4i + 2j - 3k and b = 2i - 3j + k c = xi + yj + zk Homework Equations a\botc \longrightarrow a \bullet c The Attempt at a Solution Okay, here's what I've done so far. Take the dot-product of...

Homework Statement Find a vector perpendicular to these vectors a = i + 2j + 7k b = i + j - 2k Homework Equations a.b = |a||b|Cos(x) a x b = |a||b|Sin(x) The Attempt at a Solution So a.b = 0 a x b = |a||b| |a| = sqrt(54) |b| = sqrt(6) a x b = sqrt(324) Have I acutally...

Hi, My question is as per the title. Why 90 deg and no other angle else? I did a thorough Net Search and could find no satisfactory answer. Can it be explained using Maxwell's Equation? (Sorry, i don't really understand Maxwell's equations) I am a teacher who is apprehensive about...

Homework Statement If a and b are perpendicular, simplify (a - 2b) \cdot (3a + 5b) The Attempt at a Solution Not really sure what they're asking, but to be perp. the angle between them is 90. So using the scalar so a.b = 0?? The answer in the book it (3a² - 10b²) and I can see...

Homework Statement Find the parametric and symmetric equations for the line through the point (2,1,0) and perpendicular to both <1,1,0> and <0,1,1,> Homework Equations Parametric equ: x = x_0 + at y = y_0 + bt z = z_0 + ct The Attempt at a Solution Cross product of <1,1,0> and...

Homework Statement Find the parametric equations for the line which passes through the point (3,5,7) and parallel to the vector <2,6,8>. Is the line perpendicular to the plane 5x + 6y +7z = 10? Homework Equations line equation, r = Ro + tV The Attempt at a Solution line...

I found this nice book on Google http://tinyurl.com/yh2y2zb that does a great job explaining relativity, however, even though the conclusions make perfect sense to me so far, I'm stuck on a conceptual issue when reading over the classic thought experiments that makes me feel like I'm still...

Homework Statement the vectors a and b Homework Equations find a vector which is perpendicular to the plane containing vectors a and b The Attempt at a Solution do i find the vector product of a and b and then find something that's parallel to that or...?

Consider a circular loop. If I were to apply forces at all points on the loop such that the forces are perpendicular to it and in the same plane as the loop, the net force experienced by the loop equals zero. But it expands. The loop expands even when no work is being done on it. How can it be...

Two long horizontal straight parallel wires are 28.28 cm apart and each carries a current of 2.2 A in the same direction, namely, due south. What is the B-field at a point that is a perpendicular distance of 23 cm from both wires? Answer in microtesla. B= (u0*I)/(2Pi*r) u0= 4Pi*10^-7=...

Homework Statement Point A (–4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x = 2 is the perpendicular bisector of AB ? Homework Equations don't know where to start. The Attempt at a Solution haven't tried.

Hi all.. I am just stuck upon something very trivial.. We know that E and H fields in an EM wave are perpendicular to each other.. I was also told that they are respectively perpendicular to direction of propagation.. Is it correct? are there any conditions for this to hold..??

Homework Statement Consider the equation $\mathbf{A}\mathbf{\times Y}=$\mathbf{B}$ for perpendicular vectors A and B. Derive a general solution for Y. Homework Equations The solution was actually given to us, and I plugged it into make sure it works. (It does.)...

Homework Statement The Attempt at a Solution The terminology in this question confuses me into what I am actually trying to solve. It seems to me that S-perp would naturally be a subspace of real column vectors based on the fact that we specify that S\neq0. It goes on to mention...

Homework Statement Determine the coordinates of the points on the graph of f(x) = \sqrt {2x+1} where the tangent line is perpendicular to the line 3x+y+4 = 0 Homework Equations f(x) = \sqrt {2x+1} 3x+y+4 = 0 The Attempt at a Solution For this, I was going to find the...

i need a parametric equation of a circle in 3d space that is perpendicular to a vector <a,b,c>. (as t goes up the circle is traced counterclockwise, as viewed from the head of the vector.) in the form x[t],y[t],z[t] i know that x^2+y^2+z^2=constant and that ax+by+cz=0 But i cannot figure...

Homework Statement There's a ball moving at a constant velocity V and I apply a force perpendicular to the direction of the velocity. Why is it that there's no change in speed? If I add a perpendicular force, there would be a new vector thus resulting in a new velocity with a different...

Homework Statement "A vector perpendicular to both vectors V & W Vector V = 3i + 2j - 2k Vector W = 4i -3j + k Homework Equations Cross product equation The Attempt at a Solution The way our teacher tried to teach us was to do the cross product of vectors V x W Which...

Electric flux related to perpendicular suf? Hello. This is my first in here. I am studying on Physics electricity and magnetism. While I am reading the concept of electric flux, the textbook repeatly mention about "perpendicular to the surface" . Why is the perpendicular surface important...

This has been bothering me for a long time. I can see that it's "obviously" true but I'm having trouble arguing it rigorously from what I know about special relativity (i.e. I "believe it" but when I try to (hypothetically) explain it to someone, I can't do so convincingly.) I first found...

Homework Statement If electric fields are perpendicular to the equipotential surface, what is the orientation of the field on the surface of a conductor (like metal)? Why is this so? Homework Equations E= ∆V/d The Attempt at a Solution I know that there is no charge within a...

How to find (equations of) two perpendicular planes intersecting to a plane (say 3x+y+z=10) in a point (say 1,2,5 ). All the three planes are perpendicular to each other and intersecting at a single point (say (1,2,5) in this example) If possible explain it in vector form and non-vector...

Homework Statement Find an equation for the plane that is perpendicular to the line x = 3t -5, y = 7 - 2t, z = 8 - t, and that passes through the point (1, -1, 2). Homework Equations Equation of a plane: Ax + By + Cz = D D = Axo + By0 + Cz0 The Attempt at a Solution I am not sure...

Line perpendicular to given line passing through a point Homework Statement What is the vector equation of a line passing through P(1,2,3) which is perpendicular to the line L1 : (x-4)/4 = (y-5)/5 = (z-6)/6 Homework Equations Dot product Projections Planes, perhaps? The Attempt...

Hello, I am trying to obtain how to find the Reynolds Number of a circular plate perpendicular to external flow. Thanks

Homework Statement this problem has 2 parts a- Determine a vector perpendicular to the plane containing the points 1,0,0 2,0,-1 1,4,3 b - determine the area of the triangle Homework Equations The Attempt at a Solution a- i found the two vectors from the 1st point a...

Homework Statement Find cartesian equations of the line L containing P(2, 0, -3) and Q(1, -1, 6) and determine if plane (8x + y - z = -1) is perpendicular to L Homework Equations The Attempt at a Solution PQ = (1-2)i + (-1-0)j + (6+3)k = -i -j +9k (x-2)i + (y-0)j + (z+3)k =...

Homework Statement Line 1: x-3/3k+1=Y+6/2=Z+3/2K Line 2: x+7/3=y+8/-2k=z+9/-3 Homework Equations Cross product and dot product The Attempt at a Solution vector equation for line 1: (x,y,z)=(4,-4,-3)+k(3,0,2) vector equation for line 2: (x,y,z)=(-4,-8,-12)+k(0,-2,0) The...

Help: Perpendicular project is regular surface?? (edit found a better way of showing this) Homework Statement Hi I have this problem here which is causing me trouble. Show that the perpendicular projection of the center (0,0,0) of the ellipsoid \frac{x^2}{a^2} + \frac{y^2}{b^2}...

Could someone point me in the correct direction? I have no problem working out the angles and lines, but when one has to take into account the perpendicular, then I get confused. It is clear that the relationships are altered, but I am missing something? I have made worked further in the problem...

A Tangent to the parabola y = 3x^2 - 7x + 5 is perpendicular to x + 5y - 10 = 0 Determine the equation of the tangent i really don't know where to start!

Hi, I'm trying to figure out how you can calculate motional EMF when the velocity of the object in question is not perpendicular to the magnetic field. There are two equations in my textbook, but the text describing them is not very helpful. The first is \varepsilon = vBL, which can be...

Homework Statement Prove that the straight line x cos @ + y sin @ = p is a tangent to the ellipse x2/a2 + y2/b2 if a2 cos2@ + b2 sin2@ =p2 . u and v are the perpendicular distances of a tangent from the two points M(0,ae) and N(0,-ae) respectively. Prove that u2 + v2 is a constant...