Using simplified index notation, prove the following tensor identities: a) T:4 Y =y ·() b) и:(ухw)- v: (цхy) c) vx(wxz)= (v z )w - (v w)z

Q: Given: A: A = 19.3 0A = 29.1° B: B₂=35.7, By = -48.6 (a) Calculate the x-components and y-components…

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Q: (c) The angle that F2 makes with the positive x axis is found from tan0 = F2u/F2z = 21/32 0.656.…

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Q: a) Write down the metric and the inverse metric, and use the definitionrpµv = 1/2gpσ(δµgvσ + δvgµσ -…

A: The objective of the question is to find the metric and inverse metric for a sphere of radius a, and…

Q: Which of the following are valid expressions (note all that are). А (В - (В х С) (А: B)C + A:(Вx C)…

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Q: Determine the values of I1. 12, and I3 that satisfy the following three equations. -1.04/, + 12 + 13…

A: -1.04I1 + I2 + I3 = 5.35  ...(1) -3.06I1 + I2 = 0 I2 = 3.06 I1    ...(2) 1.30I1 + 1.30I3 = 0 I1 = -…

Q: Use y - yı = m(x – x) to find the equation of the line that contains (a, b) and is perpendicular to…

A: Concept used: The product of slopes of perpendicular lines is -1.

Q: Example 2; find O between A¯and B'? A¯=2î +3j +k , B =3î -2j +K

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: let vector a = , vector b = , vector c= Evaluate: vector a*(vector a*vector b) / |vector c|^2

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Q: A circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate…

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Q: For each of the following, carry out the mathematical operation and report answers in scientific…

A: According to question we need to solve mathematical problems.

Q: Question 2 Pauli matrices are important in physics. They are: (; 4). -i Or = 1 0 1 Oz = > Oy = -1…

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Q: Given q = 77 - 10j and d = − 6ỉ – 4j, find + d and |||| + - ||ď||. Give EXACT answers. You do NOT…

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Q: Q. find the unit tangent vector T, the principal unit normal vector N, and the binormal vector B to…

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Q: Two vectors lying in the x-y plane are defined by their magnitudes and direction angles, as shown in…

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Q:  Find derivative of functions:

A: Given function is in the following format, y = f(x) / g(x) Derivative of y can be written as…

Q: Calculate (x,1)= (x,t)(x,t) and sketch what this looks like for 1=0, th zh 3th , and ra 2(E₁-E₂)…

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Q: If AxB = 3 A.B, then the angle between the vectors A and B is: o 84.3 071.6 63.4° 076.0

A: Given : |A→×B→| = 3A→.B→       .....(1)To find :Angle between the vectors A→ and B→

Q: D1.4. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), and C(-3, 1, 5).…

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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: Call the starting point (xo, yo) = (0,0). To find (x, y) for the ending point, use triangle trig on…

A: In the given solution we have arrived at a final equation which connects the distance, velocity and…

Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x² + (y + 5}² =…

A: x2 + (y + 5)2 = 25 To find = polar equaiton

Q: ds and a = dt dv Suppose quantity s is a length and quantity t is a time. Suppose the quantities v…

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Q: If ay can be written as ua +va + wa at the point P(2.94, 309.46 degrees, -2.75), find u+v+w. P Ф Z

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Q: Given the vectors = [(3.45 m)j + (1.75 m)k] and B = [(1.35 m)i + (2.25 m). What is the product BC?

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Q: Use the definition of the derivative to find r'(t). r(t) = (6t + 4)i + (9 – t²)j r'(t) =

A: Given, r(t) = (6t+4)i + (9-t2)j Now, r'(t) = d/dt {r(t)}

Q: Let u = (-7,3,-5) and 7 = (-1, 1, 0). Compute the following: ū x v- vx u u xu -9 (u × v) = u x (-97)…

A: The objective of the question is to compute the cross product of the given vectors in different…

Q: Using the analytical vector addition method, calculate A + B where A = 60.0 Km/h at 72° and B=3.00 x…

A: given-         A = 60 km/h ,at 72 degree         B = 300 km/h at 190 degree

Q: Prove: =0 = √√ntl H n ħ 2mw <n-1|2|m²) = √²m² ₁ + 0 n

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Q: The following transpositions are correct, except

A: The objective is to find the incorrect transpositions  Here the answer is option d

Q: nts. tude veen 1.49 · For the vectors A and D in Fig. El.28, (a) find the magni- tude and direction…

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Q: Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2…

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Q: What is the standard form for the resolution of a vector having magnitude ‘a’ and is inclined at an…

A: This is a question related to the scalars and vectors. Here, We will use the property of resolution…

Q: Given: A: Az = 43.4, Ay = 35.4 B = 16.3 B: 0B = 39.7° (a) Calculate the x-components and…

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Q: Prove that: [(Â×B)×Ĉ]×Ď+[(Â×Â)×Ď]×¢ +[(Ĉ×Ď) D

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Q: What is the angle between the two vectors A = 2i + 3j and B = i-2j is * 0° 120 60 O 90

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