7. Verify that e, xe, = Ejime m- Hence, by dotting each side with e,, show that Eje = (e, xe,) , . Show that u x V = E;jU;V ;€k • %3D 8.

Q: 1. Show that (Aµ)* = X*µ* for all A, u E C.

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Q: the 8 ball into the top right corner pocket to win the game, but you want to make sure that you…

A: Solution:   From the above-given data,   Mass (m)=0.15 kg Time(∆t)=0.1 s   Let us draw a figure to…

Q: Ql: Show that: sin e sin o -cos e cos o cos e sin o -sin e cos o A, A, A. sin 0 cos o Cos A A %3D…

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Q: For the following configuration, V, =44 V, R, =2 k2, R,=9 , R3=46 and kN. Vo = ... V R4= 24 R2 R1

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Q: The object W = UdVod, where U is a tensor of type (1,2) and Vab bd Select one: O 1. Tensor of type…

A: Required :  The correct option.

Q: 69. For the following vectors Ả = 5ì – 7ỷ + 2: B = oi + 33 + 112 -9î + 43 – 9£ Ď = li+0j – 3

A: (a) A→×B→.D→ The cross product of two vectors A and B is     i^               j^           k^   5…

Q: What are the indices (Miller indices) of a plane whose intercepts with three axes are 2,4,2,…

A: take the reciprocal of the intercepts. We then obtain  12,14,12

Q: 5. Let W R³ be the intersection of the two planes: 2x + y − z = 0 and 3x - y + 2 = 0. Find the…

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Q: 4) Solve F.dr using Stokes' theorem for yzi✦ zi‡ yk„where S is the cylinder x² + y² = 4 between -3 ≤…

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Q: Q. What is an irreversibility ?

A: Solution:-Given thatIrreversibility

Q: Considere un operador B que sa tisface la siguiente cuación cúbica, B - B² – 4Î = Ô, donde i es el…

A: Given The characteristic equation is given by, B^3-B^2-4I^=0 Introduction: The "Cayley-Hamilton…

Q: B) 70 C) 140 160 tish smms bela the surtace at the nater at p Whane shald to catuh it a tishorman…

A: For the refraction of fish,

Q: 3. Solve for li, lz, and kotal. R, ww R3 10 B, 28 V 203 R2 7 V V B2

A: The circuit diagram is shown below.

Q: Find the area of the specified region. Shared by the circles r= 5 cos 0 and r= 5 sin 0 O A. (2-12)…

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Q: F = = dt d mu dt √1-u²/c² m / T = ²^U2² / 0² {² - a + = m u(u. a) (c²-u²) du dt √1-u²/c² }. qed + u…

A: Here differentiation of product and chain formula of differentiation is used.

Q: 6. A vector field is given as G=2x²ya, -2(2-x)a, + 3xyza. Prepare sketches of G₂, G₁, G₂, and IG,…

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Q: 1 Prove that X sin(bx) Jx = TT ēb 2. Solid state) Physics x2+a2

A: Prove: ∫0∞x sinbxx2+a2dx=π2e-ab

Q: 4. Vectors A,B and C form a triangle, as shown in the figure. Prove the law of cosines, |C|? = |A]?…

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Q: 10. Determine the Miller indices for the planes shown in the following unit cells. B A +y B.

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Q: R/ From the assumPtion Ît =aLx +BLy +kiz prove Ît- Lx +i Ly ?

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Q: Needs Complete typed solution with 100 % accuracy don't use chat gpt or ai plz plz plz i definitely…

A: Here given that the position of the electron as r(t)=2.47ti^−2.92t2j^​+5.38k^so the velocity is time…

Q: 5 tngle o Fund the O hetween these tuo veetors A =(2.4) + (1.7 (6.5); +(6.8

A: GivenTwo vectorsA→=3.4 i^+1.3 j^B→=6.5 i^+6.8 j^

Q: explain this

A: Given data :  Elarge = 2× Esmall  And equation for E* is given  To Find :  Exact relation between E*…

Q: .Please.calculate.the. monent .of mertia values .for each figures accordine to the defined rotation…

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Q: 2. Determine the miller indices for the plane given in the figure.

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Q: 3. Region 1 (z0) is characterized by &2= 4. Let E, = -30ax + 50ay+70a, V/m, find: a) E2. b) D2 c)…

A: Given: E1→=-30ax+30ay+70azεr1=2.5εr2=4

Q: Choose the plot of V(x), with the condition V(3)=0, that best corresponds to the plot of E vs. x…

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Q: Given that 1² ex dx = · [²³³ ex dx = e³ - e, use this result to evaluate 3ex +4 dx

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Q: .Draw the direction with Miller indices [221] in the given cube below consider the given origin. X N…

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Q: H.Wi- Show wither the follow ing Panchion s even evedd or neither の Fu): xう (つ の

A: A function f(x) is an even function if f(-x)=f(x)A function f(x) is an odd function if f(-x)=-f(x)

Q: Calculate the commutators (a) [r, Lz], [y, L-], [z, Lz] (b) [Pz, La], [Py, L.], [Pz, L=]

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Q: 4. Prove the following identities: ât \æ) (a\ = |a) (a\, da a* + |a) (a\ â = ( a + da* :) læ) («\.

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Q: A 0.3 m long wire carries 10 A of current as shown. If the magnetic force F on it is 3 N, what is…

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Q: E = ? at (a) x 2h

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Q: 9₂=-2.09 91=+q d d 93 = -3.09 94 = -4.09 Part A Find the direction and magnitude of the net…

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Q: 44. Let A=(2 m)i +(6 m)j – (3 m)k and B = (4 m)i +(2 m)j+(1 m)k. Then A · B equals: A) (8 m)î +(12…

A: Given ,          A = (2m)i + (6m)j - (3m)k          B = (4m)i + (2m)j + (1m)k    A . B = (2m)i *…

Q: A = 2x²yî – 5xyz ĵ – 92³R ,then find V x V x Ā. %3D |

A: