Derive the following equation. 2 np=n¡
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![Derive the following equation.
2
np=n;](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5fad5b6-2837-4982-b8ab-a9ccd0b75242%2F30e4fd8a-075d-410b-9c2b-61378fd373c9%2F5jzpclk_processed.jpeg&w=3840&q=75)
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- Only need the solution to part e. Previous correct answers a.-5.41E-14C/m B.1.41E-3N/C C. 180 degrees d.8.81E-9N/CCLO 4 If the plane x+y+z-1=0 cuts the x-axis, y-axis, and z-axis at A, B, and C respectively. Find the perpendicular distance to the point P(2,6,9). В а. 9.24 b. 8.66 С. 9.81 d. None of the choices О е. 5.33 f. 5.67 N.Determine the Miller indices for the directions A, B, C and D shown in the following cubic unit cell.
- find A.B p A=50, 45) and Ba o (40, co") (40, 60")3. Let a, b, n be integers, with n > 0. Prove that a = b (mod n) if and only if a² + b² = 2ab (mod n²).Elliptical cylindrical (EC) coordinates are defined by the variables u, v and z, with aconstant a, in terms of Cartesian coordinates as follows:x = a cosh u cos v ;y = a sinh u sin v ; (75)z = z .a. Find the EC metric.b. Describe surfaces of constant u, v and z for various values of the constant a.c. Find the EC basis vectors for arbitrary a.d. Make vector field plots of the EC basis vectors in the x-y plane.e. Find the incremental area and volume expressions.f. Express the gradient, divergence, curl and Laplacian operators in EC coordinates.