Homework Answers
Add Answer to:
Consider the null cone of the three-dimensional Minkowski space (R2+1,m A. Write the equation of ...
Consider the standard basis (e1, e2) of the two-dimensional Minkowski space (R1+1,m) with respect...
Consider the standard basis (e1, e2) of the two-dimensional Minkowski space (R1+1,m) with respect to which the metric tensor m takes the form -1 0 Consider the new basis Compute the metric matrix m with respect to the basis (L, L)
Consider the standard basis (e1, e2) of the two-dimensional Minkowski space (R1+1,m) with respect to which the metric tensor m takes the form -1 0 Consider the new basis Compute the metric matrix m with respect to the basis...
2. Consider a three-dimensional Universe. A vector of this space, starts from the origin of the...
2. Consider a three-dimensional Universe. A vector of this space, starts from the origin of the coordinate system and has the tip described by the coordinates 1, 0, a) Write the matrix that describes a rotation of this three dimensional vector about the Oz axis by an angle of 45° Both the initial and the final coordinates have the same origin. b) Calculate the projections (of the tip) of this vector along the new axes of coordinates.
Consider the three-dimensional subspace of function space defined by the span of 1, r, and a2 the...
Consider the three-dimensional subspace of function space defined by the span of 1, r, and a2 the first three orthogonal polynomials on -1,1. Let f(x) 21, and consider the subset G-{g(z) | 〈f,g〉 0), the set of functions orthogonal to f using the L inner product on, (This can be thought of as the plane normal to f(x) in the three-dimensional function space.) Let h(z) 2-1. Find the function g(x) є G in the plane which is closest to h(x)....
Consider the four dimensional space R4 with coordinates (x1, X2, I3, D4). A hyper- plane is the set of points whose...
Consider the four dimensional space R4 with coordinates (x1, X2, I3, D4). A hyper- plane is the set of points whose coordinates satisfy an equation ax1+bx2+cx3+ dx4 = k, where a, b, c, d, and k are fixed real numbers. (1) Find the coordinates of a vector which is perpendicular to a plane ar1 + bæ2+ cx3+ dr4 k?
Consider the four dimensional space R4 with coordinates (x1, X2, I3, D4). A hyper- plane is the set of points whose...
1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose bas...
1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose basis vectors e for the body frame such that the inertia tensor I, is diagonal. Will this rigid body with this body origin be an asymmetric top, a symmetric top, or a spherical top? Calculate the inertia tensor in this basis How will the inertia...
For the vector space of three dimensional vectors answer a)define the vector space using proper notation....
For the vector space of three dimensional vectors answer a)define the vector space using proper notation. b)write down the standard basis of this vector space. c)write down any nonstandard basis of this vector space. d)give specific examples of subspaces with dimensions 0, 1, 2, 3 and explain geometrically what they represent.
(three parts): Thinking of R2 as the plane, consider the following three functions (R2)2- R: ....
(three parts): Thinking of R2 as the plane, consider the following three functions (R2)2- R: . de((a, b), (с, d))-V (a-c)2 + (b-d)2. The first is the usual distance formula (which we will take for granted to be a metric), the second is the "grid" distance (imagine you can only move horizontally or vertically). and the third is just comparing the distances on the line of the r-coordinates and of the y-coordinates and taking the maximum 1. Show that dsum...
Given four vector s at equilibrium: T, N, F, and W in a 3 dimensional space...
Given four vector s at equilibrium: T, N, F, and W in a 3 dimensional space Point O is at the origin of the coordinate system and has coordinates of (0, 0,0) Given that T is parallel to OB, N isparallel to OA, Fis parallel to OC, and W is a given vector of coordinate 〈 0,-5,0 〉 use unit vectors to calculate the magnitude of T, F, and N A (2,5,-1) B-6,3,4) c (2,-1-4)
QUESTION 1 A quantity, 7", in an n-dimensional space that has n values and transforms between...
QUESTION 1 A quantity, 7", in an n-dimensional space that has n values and transforms between reference frames S and S in the same way as an infinitesimal displacement (dx), that is: is called a contravariant vector Let T be a contravariant vector in a 2-dimensional space, and let S be defined in Sas: 4 and 12 with A = 3 and B = -2 Find the second component, 7", of the vector in S, at point P, where the...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of the cone is 3 and the radius of the top is 8. Find the centroid of the cone by following the steps below. Assume the density of the cone is constant 1. a. The mass of the cone is m Jls 1 d(x, y, 2) b. Let Q(2) be the disk that is the intersection of the cone with the horizontal...
Consider the standard basis (e1, e2) of the two-dimensional Minkowski space (R1+1,m) with respect to which the metric tensor m takes the form -1 0 Consider the new basis Compute the metric matrix m with respect to the basis (L, L)
Consider the standard basis (e1, e2) of the two-dimensional Minkowski space (R1+1,m) with respect to which the metric tensor m takes the form -1 0 Consider the new basis Compute the metric matrix m with respect to the basis...
2. Consider a three-dimensional Universe. A vector of this space, starts from the origin of the coordinate system and has the tip described by the coordinates 1, 0, a) Write the matrix that describes a rotation of this three dimensional vector about the Oz axis by an angle of 45° Both the initial and the final coordinates have the same origin. b) Calculate the projections (of the tip) of this vector along the new axes of coordinates.
Consider the three-dimensional subspace of function space defined by the span of 1, r, and a2 the first three orthogonal polynomials on -1,1. Let f(x) 21, and consider the subset G-{g(z) | 〈f,g〉 0), the set of functions orthogonal to f using the L inner product on, (This can be thought of as the plane normal to f(x) in the three-dimensional function space.) Let h(z) 2-1. Find the function g(x) є G in the plane which is closest to h(x)....
Consider the four dimensional space R4 with coordinates (x1, X2, I3, D4). A hyper- plane is the set of points whose coordinates satisfy an equation ax1+bx2+cx3+ dx4 = k, where a, b, c, d, and k are fixed real numbers. (1) Find the coordinates of a vector which is perpendicular to a plane ar1 + bæ2+ cx3+ dr4 k?
Consider the four dimensional space R4 with coordinates (x1, X2, I3, D4). A hyper- plane is the set of points whose...
1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose basis vectors e for the body frame such that the inertia tensor I, is diagonal. Will this rigid body with this body origin be an asymmetric top, a symmetric top, or a spherical top? Calculate the inertia tensor in this basis How will the inertia...
(three parts): Thinking of R2 as the plane, consider the following three functions (R2)2- R: . de((a, b), (с, d))-V (a-c)2 + (b-d)2. The first is the usual distance formula (which we will take for granted to be a metric), the second is the "grid" distance (imagine you can only move horizontally or vertically). and the third is just comparing the distances on the line of the r-coordinates and of the y-coordinates and taking the maximum 1. Show that dsum...
Given four vector s at equilibrium: T, N, F, and W in a 3 dimensional space Point O is at the origin of the coordinate system and has coordinates of (0, 0,0) Given that T is parallel to OB, N isparallel to OA, Fis parallel to OC, and W is a given vector of coordinate 〈 0,-5,0 〉 use unit vectors to calculate the magnitude of T, F, and N A (2,5,-1) B-6,3,4) c (2,-1-4)
QUESTION 1 A quantity, 7", in an n-dimensional space that has n values and transforms between reference frames S and S in the same way as an infinitesimal displacement (dx), that is: is called a contravariant vector Let T be a contravariant vector in a 2-dimensional space, and let S be defined in Sas: 4 and 12 with A = 3 and B = -2 Find the second component, 7", of the vector in S, at point P, where the...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of the cone is 3 and the radius of the top is 8. Find the centroid of the cone by following the steps below. Assume the density of the cone is constant 1. a. The mass of the cone is m Jls 1 d(x, y, 2) b. Let Q(2) be the disk that is the intersection of the cone with the horizontal...
Most questions answered within 3 hours.
-
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 31 minutes ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 1 hour ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 2 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 2 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 3 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 5 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 5 hours ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 5 hours ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 5 hours ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 5 hours ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 5 hours ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 5 hours ago