In differential geometry give me example of covariant tensor and contra variant tensor.

Q: A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at…

A: a) Null and alternative hypothesis: Ho :  µcars  = µvans = µSUV  Ha : All means are different. b)…

Q: What is a gradient field? Give examples?

A: Gradient field is the partial differentiation of field vector with respect to all three spatial…

Q: How many Potenhally defferent tensors of ander two can be defined by faking the ouer Product of sö…

A: The outer product of two tensors results a tensor with the order that equals the sum of the co…

Q: Find curl(curlF→(x,y,z)) of the vector field F→(x,y,z)=x^9zi→−9x^8zj→+yzk→. Enter the exact answer.…

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Q: A vector field Fis conservative when F is the gradient vector of some potential (scalar) functi O…

A: To see 2nd step

Q: what are the examples of contravarient and covariant tensors?

A: Example of Covariant tensor: A'i=aijAj

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: Given that v=<x-y, z+y+9, z2> and the given curve is y=1-x2-z2,y≥0 To find: The value of ∬S…

Q: Calculate the tensor product of la) and b) %3D

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Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: orthogonal.

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Q: yi Determine whether the vector field F(x, y) %3D 1.

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Q: d in a frontal offset crash between two vehicles of the same​ weight, each going just less than 40…

A: ANOVA or Analysis of Variances is one of the most important fields in Statistic. The reason for this…

Q: Non-exacr or first order linear DE

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Q: Classical theory fails appeared sharper when applied on the movement of the electron of hydrogen…

A: Yes the classical theory fails to appered sharper when applied on the movement of the electron of…

Q: A. If x and y are orthonormal vectors, then find the value of x+ yll- x-yll

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Q: Vector A satisfies the vector transformation law, A'=SA. Show directly that its time derivative…

A: Given that a vector A satisfies the vector transformation A'=SA Query is to show that the derivative…

Q: wing vector fields is not con

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Q: If the components of a contravariant tensor in x' coordinate system are (8,4). Show that its…

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Q: vector field F

A: We have given a vector field F in the XY-plane. We have to determine whether divF is > or < or…

Q: Truo or Fase ? If A is second order tensor ,then

A: The objective is to state whether the statement is true or false. If A is second order tensor, then…

Q: Find the Euclidean metric tensor (in matrix form) for Spherical coordinates. if (x²) Spherical…

A: Given :             x1=x1sinx2 cos x3x2 =x1sinx2sinx3x3 =x1 cos x2 To Find : Euclidean metric tensor…

Q: Determine the vector field of F. F(x, y) = 4i – 2j

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: If the components of a contravariant tensor in x' coordinate system are (8,4). Show tha its…

A:

Q: Repeat Exercise 27 for the forces KX = (2, – 3) and KY = (- 2, 3).

A: The given two force vectors are, KX→=2,-3KY→=-2,3 When we find the addition of two vectors, then the…

Q: 6ij=I, V i,j from 1 to 3 where I is identity tensor matrix.

A: To determine true or false. δij=I, ∀i, j from 1 to 3 where I is identity tensor matrix

Q: The amount of money currently in your bank account is an example of a vector. O True False

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Q: vector spaces

A: We have to select the statements which are vector spaces. The set of all polynomials of degree…

Q: What is a vector field? Give three examples that have physical meaning.

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Q: If T is a mixed tensor, then T} + T{ is generally not a tensor a tensor May or may not

A: Answer : may or may not  Hence, Option (iii) is true.

Q: Kinetic energy is vector ylgn İhi

A: Kinetic energy has magnitude but do not has any direction

Q: tch the vector field with its graph. F(x, y) = yi y 事 5 -5- -6+ y 1信 I 5 5 -5+

A: Given  F(x,y)=yi Option (1) is correct by given graph

Q: 5. Drop a vector from the set A {sin'x,-1,1, sin 5x} to make it independent in F(-00, 00)

A: A set is linearly independent if no vector can be written as linear combination of others.

Q: Find a non zero unit vecor û that is orthogonal to u1=(1,2,1) U2= (2,5,4) in R³.

A: Given; u1 = (1,2,1) and u2 = (2,5,4)

Q: 2 If a and b are vector functions and T a second-order tensor function of position, show the…

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Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

A: Given- r1t and r2t are vector - valued function in 2-space. To explain equation r1t=r2t may not…

Q: 2. A block of mass 68 kg rests on a horizontal floor. The coefficient of friction between the block…

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Q: Transformation law of mix tensor of rank 2

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Q: If A is second order tensor, then

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: div(curl(grad(f(x, y) is a vector field Select one: True False

A: The solution is given as

Q: iven vector u = (-1, –5) and v = (-2, –1) , determine the value of 5v – u in omponent form.

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Q: Vector Calculus If r = xi + y) + zk, andr = ||r||, what is V In r?

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Q: -) Are these pairs of vectors orthonormal or only orthogonal or only linearly independer [:]; » [] 1…

A:

Q: right hand side vector. 1 1 2 10 4 7 5

A: Given:- A=1121075  and  b=465

Q: Find an expression for a unit vector normal to the surface x = 10 cos (0) sin ($), y = 5 sin (0) sin…

A: Given that x=10cosθsinϕ, y=5sinθsinϕ and z=cosϕ. We have to find a unit vector normal to the…

Q: Define and give three examples of contravariant and covariant tensors ?

A: The space of real numbers can be defined with dimensions Rn. The properties in this space can be…

Q: Ex. Find the components gij of Euclidean welzik tensor in special coordinate system (²) defined from…

A: To find: The components gij of Euclidean metric tensor in special coordinate system (xi) defined…

Q: (Ъ) (aU) · (bV) = ab(U.V)

A: Explanation of the answer is as follows

Q: Please answer in complete solution The task is to identify all the values of a and b that will make…

A:

Q: A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at…

A: H0: μCars=μVans=μSUVs and H1: at least one mean is different

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.