Perpendicular vector Definition and 15 Threads

since it is known that ##\vec{A_\perp} = -{mG \over R^2}## why did the professor write it as ##\vec{A_\perp} = {- R G \rho \over 3}## for perfect sphere with perfect mass distribution ? Shouldn't it be ##\vec{A_\perp} = -{4 \over 3} \pi R G \rho##? I need help thanks.

Hi, i get the math that is involved but if I have only the x,y coordinates for 2 points to connect and if i want to know what will be the perpendicular line to the line connecting these two points, how can I do that?

My question is perhaps as much about the philosophy of math as it is about the specific tools of math: is perpendicularity and rotation integral and fundamental to the concept of multiplication - in all number spaces? As I understand it, the product of complex numbers x = (a, ib) and y = (c...

I saw a link on MIT open courseware proving grad operator yields perpendicular vector to contour, but I can't make sense of how dg/dt=0. Can someone explain to me please...

Homework Statement I have an a-b coordinate system which is skewed with an angle = 60 deg. I also have a particle position defined by vector V1 (a1, b1, 0) which follows the coordinate system. The problem I have is that I need to get V2 (a2, b1, 0) which is perpendicular to V1. Homework...

Doing MIT OCW 18.06 using Gilbert Strang Intro to Linear Algebra. Ch 1.2 The vectors that are perpendicular to <1,1,1> and <1,2,3> lie on a ___________. I would have said "plane". I've worked with vectors in calculus, and if you take the cross product of those two vectors you get a vector...

Homework Statement Find the equation of the line, p, that is perpendicular to r=(1,1,1)t + (3,5,2) and passes through (3,3,1) Homework Equations dot product =0 The Attempt at a Solution I understand that the direction vector r and p, when dot producted must =0 but I've forgotten...

Homework Statement Find a unit vector in the xy plane which is perpendicular to A = (3,5,1). Homework Equations A_x{B_{x}} + A_y{B_{y}} + A_z{B_{z}} = \textbf{A} \cdot \textbf{B}\\\hat{\textbf{A}} = \frac{\textbf{A}}{|\textbf{A}|} The Attempt at a Solution In order to be perpendicular...

I am working on a software for analysis of brain connections using MRI. Please suggest the simplest way to find a vector which is: perpendicular to a unit vector that is positioned in the coordinate center, it should be in the 2D plane containing the given vector and a given point on...

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 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 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 how do I find the basis for all vectors that are perpendicular to both v1 = (1,1,0,0) and v2 = (1,0,1,1) If it were 3-D I could find a normal vector via cross product, but in n-dimensions... what do I do? My one thought is to arrange and solve linear homogeneous system...

The question reads: "Consider the surface given by the equation x^3 + xy^3 - z^2 = -4 The point p = (1,2,3) lies on this surface. Give a vector that is perpendicular to the surface at p?" I'm not too confident about this question although there is a theorem in my notes saying: if p...

If you had two vectors, and you wanted to find a vector perpendicular to those useing th dot product, what would be needed to be done. I alreaded Doted A *dot* B and have a vector. I'm just stuck on the last part