Find an equation for the plane through the points (-6, 8, –1) and (-1,3,–8) and perpendicular to the plane -4x – 3y+ 8z = 10. An equation for the plane is

Q: B, 1 and 2?

A: B. (1) Apply momentum conservation for experiment 1.

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A:

Q: In the shown figure, the length of the side of the square is 20, if q=Q is placed at point "1", the…

A:

Q: If k is any positive number, what is the size of the angle between the vectors a = (k, k) and b =…

A: The angle between the vector a→ and b→ is define by the following formula. cosθ=a→·b→a→b→

Q: 2.2 Express the following points in cylindrical and spherical coordinates: (a) P(1, –4, –3) (b) Q(3,…

A:

Q: The divergence of the vector potential A is ,here, Qis a constant with dimensions. 4n r2 Calculate…

A: Given data: Vector potential A →=-μ04πQr2

Q: Is the Schrödinger equation for a particle on an elliptical ring of semi-major axes a and b…

A: The Schrodinger equation for a particle on an elliptical ring of semi-major axes a and b are not…

Q: Sketch the following 3D vectors  A = 3î + 5ĵ – 4k and B = 6î – 7ĵ – 5k

A:

Q: Find the measures of the angles of the triangle whose vertices are A = (5, 8, 9), B = (4, 3,9), and…

A:

Q: Evaluate the given integral. Jx²Inxdx

A:

Q: Consider two particles of masses m1 and m2. Let m1 be contined to move on a circle of radius a in…

A: the Lagrangian for the system:

Q: Prove that the relation ∂ri/∂qk =∂r˙i/∂q˙k holds if you have one particle system described by…

A:

Q: Using the del operator in tesian coordinates to derive the operator in the cylindrical

A:

Q: Let Á=6i-8j, B=-8i+3j , and the variables a and b. Ć=26i+19j . If aÃ+bB+C=0 , calculate

A: Given:- A→=6i^-8j^B→=-8i^+3j^C→=26i^+19j^ aA→+bB→+C→=0 Find:- value of a and b

Q: While investigating the angle dependence of V you found the following graph. Which is the suitable…

A: Required : Relationship between V and theta.

Q: Write the matrices which produce a rotation θ about the x axis, or that rotation combined with a…

A: The matrices which produce a rotation θ about x-axis is given by, A=1000cosθ-sinθ0sinθcosθ

Q: A heavy particle is projected from a point at the foot of a flying plane, inclined at an angle 45°…

A:

Q: Consider the following Hermitian matrix 3 1 i 2 1i a) find the eigenvalues find the eigenvectors b)…

A: (a)The eigen values is,

Q: Show that the force vector B = 2î – 4ĵ + k is orthogonal to the force vector ở = 3î + 43 + 10k. [2]

A: There are Two vectors -

Q: find the eigenvalues and the normalized eigenvecor of the matrix A= 7 0 0 0 1 -i 9 i -1

A: Solution:given matrixA= 70001-i9i-1Find Eigen values and normalized eigen values.Now taking…

Q: Let P:(-1,2,3), Pa(2,-1,1) and Pa(1,1,1) area of the triangle equal..

A:

Q: If u⃗=<8,5>and v⃗=<−9,−2>, find projv⃗u

A: Basic Details The projection of the vector v over u is orthogonal projection of an onto vector on…

Q: Find the median from the set of No. (4,10,9,6,15,23,20)

A:

Q: Calculate Z for a single oscillator in an Einstein solid at a temperature T = 2TE = 2Ɛ/kB.

A:

Q: The spherical coordinates of a point (x, y, z) are unique. O True O False

A: True, the spherical coordinates are unique

Q: GIVEN:               A = 3.0i + 4.0j + 2.0k                             B = 5.0i + 2.0j…

A: Given: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j  C = 2.0i + 3.0j

Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in spherical coordinates…

A: Please see the answer below

Q: Two operators A and B commute with each other if

A: The commutator of two operators A and B is given by,  A, B=AB-BA ----(1)

Q: Let f(z)= u(xx)+ i V(x>Y) be analytic Find the Cauchy-Reimann eguations polar Coordinate& ? function…

A: The necessary conditions for a function f(z)=u+iv to be analytic at all the points in a region R…

Q: Prove that AB, C -{ÂB‚C} + ({‚ĉ} - [A,C))B = 0, given that the commutator of X and Ý is denoted X,…

A:

Q: Prove the relationship fP, >=<- dt

A: Prove the relation : ddt&lt;Px&gt;=&lt;-∂U∂x&gt;

Q: unction D çâp in spherical polar coordinates is

A:

Q: Consider the following scalar and vectors: Ã = 41+ 3) + 7k T = 3x+8yz + 2zx 1. Calculate for the…

A: REQUIRED  LAPLACIAN. DIVERGENCE.

Q: How many angular nodes are there for the spherical harmonic Y3,0 and at which values of θ do they…

A: The spherical harmonic are a group of functions used in math and the physical sciences to solve…

Q: A wire whose equation is Z = a(x +y) is rotated about z axis with constant angular velocity o.…

A: Given that, Mass of the bead = m , that slides on the wire such that wire is rotated about z-axis at…

Q: A particle o frnass m' moves in horizontal plane along the curve s= a0 as shown in figure, where o…

A: 41) So, correct option is A

Q: Show that the total energy eigenfunctions ψ210(r, θ, φ) and ψ211(r, θ, φ) are orthogonal. Do you…

A:

Q: Find the distance from the point (2, –7, -6) to the line L = (-5, –10, –5) + t (8,7, 6) , – ,-0 <t <…

A: Given:  Point = (2, -7 , -6) Line L→ = (-5, -10, -5) + t(8, 7, 6)

Q: If the direction E in space 1 is given as shown below and the magnitude E, = 5 volt. Find E, in…

A:

Q: Evaluate the given integral. S 1 (x²+4)3/2

A:

Q: Find the real component if the complex number a + bi is raised to m if a = 7.4, b = 4, and m = 5.

A: Complex number form= a+biGivena=7b=4m=5

Q: Q A parricle of mass m is projecred to the right with initial kineric Energy To subjecr Fo F(x) =…

A:

Q: The condition for a sphere to be considered as an isolated sphere is that the outer sphere radius…

A: Isolated charged sphere is independent of the other charged spheres .

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.