23 32 the similarity transformation Pt AP. Let A = Obtain the matrix P, and diagonalise the matrix A using

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A:

Q: d) Having seen how the inner product behaves under rotation we can now investigate its behaviour…

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A: Let us consider that the given angle is with the horizontal. Then we are given that,

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A: the answer provided in the existing answer of this question is the j component of the answer…

Q: Suppose i = 31 + 8j – 18k and ū 31 + 3j + k. Compute the following: %3D The cosine of the angle…

A:

Q: The ship O measures the positions of the ship A and the airplane B and obtains the coordinates…

A: Angle between the two vectors is given by the formula

Q: prove that n = VE,

A: given data :-

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A:

Q: What are (a) the x component and (b) the y component of a vector a→ in the xy plane if its direction…

A: Given Magnitude r = 9.6 m Direction θ = 238o

Q: 1.3 Give the function f(x,y,z) = 3x? – 2xyz +y² – 10z. Find -at the point (2,1,1). дхду 1.4 Find a…

A: 1.3 Given, fx,y,z=3x2-2xyz+12y2-10z then, differentiating f with respect to y…

Q: Q2: Show that (A, Ay, A) are related to (Ap, A,Az) using the following matrix: cos o -sin o 0 Ao A…

A: Ques: SHOW THAT

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A:

Q: Consider the three following matrices: 100 10 0 0 A 0 -1 0 0 0 1 9 B = 0 0 00-1 Calculate the…

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Q: In cylindrical coordinates, a vector function of position is given by f = r² zer +4r²e + 2zęz…

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Q: Find a unit vector parallel to the resultant vectors y, = 12i – 6j + 4k and Y: =- 8i + 3j – 5k.

A: …

Q: 1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of…

A: 1

Q: If  and B are two vectors that commute with Ô, prove the useful identity (Ô· Â)(Ô · B) = · B+ iÔ(Â…

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Q: The components of vector A→A→ are Ax and Ay (both positive), and the angle that it makes with…

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Q: 8. Find the interval of convergen 7² 413 24 21 + 12 1 112 + -AL

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Q: P.1: Let lu) = (). In) = (). a) Find the norm of Ju) and |v). Are these vectors normalized? b) If a…

A: We have to perform the following operations mentioned above regarding the ket vectors mentioned…

Q: Transform each of the following vectors to spherical coordinates at the point specified. F = yax -…

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Q: 3. If A = (2xy + z³)ŵ + (x² + 2y)ŷ + (3xz² + 5)2, then (a) Evaluate V x A (b) Based on the answer to…

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Q: Suppose the vectors i, j, pand q are all unit vectors and the angle 0 = 340°. Find the cartesian…

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Q: QUESTION 1 1.1 Give a physical interpretation of what is meant by the curl of a vector. 1.2 Suppose…

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Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

A: It is given that :

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A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

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Q: b) Write down the two components of the geodesic equation.

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Q: 3. Find the eigenvalues and vectors of the following matrix and use matrix diagonalization to prove…

A: The problem is based upon eigenvectors and eigenvalues and it is a part of mathematical physics. We…

Q: 3. Find the eigenvalues and vectors of the following matrix and use matrix diagonalization to prove…

A: To solve this at first we have to calculate the eigenvalues, then we have to calculate the…

Q: -2 -2 -20 10 Show that A = 2 -1 -1 |and B = -6 2 are similar matrices by finding an invertible…

A: Let us find the eigenvalues of matrix B.  B=-2-20100-620-61(-2-λ)-6-λ1-λ+12=0λ=-2,-3, -2 The…

Q: Consider the three displacement vectors A = (4î – 3j) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use…

A: A⇀=4i^-3j^B⇀=2i^-5j^C⇀=-3i^+5j^ D=A+B+C

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A:

Q: Back HW 1.pdf 1. Let A, B and C be three arbitrary vectors. Show that in general (A x B) x C + AX…

A: The objective of the question is to prove the vector identity (A x B) x C + A x (B x C) using the…

Q: Show that exp(-i0X/2) where X is the Pauli X-matrix. € (2) 1-isin (1) X = COS

A:

Q: find u(x,y) , v(x,y) where f(z)=u+iv for function f(z)=Z2 e2z

A: Given, A complex function fz=z2e2z

Q: 2 points you have the matrix 30 1 A = |-1 2 0 3 1 2 Very specific inverted? 0.2 0.8 0.4 0.6

A: The matrix which is specifically invert is called inversion of matrix.

Q: Problem 1. [x(1)] Let (1) be a vector with three variables denoting displacement, velocity, and…

A: We will answer the question by considering the rule for multiplying matrices.

Q: A displacement vector r→ in the xy plane is 49.0 m long and directed at angle θ = 28.0°. Determine…

A: A displacement vector is a vector, that shows the direction and distance traveled in a straight…