Q2. Distance between two points P (x = 2, y= -3, z = -1) and Q(p = 4, p =-50, z=2) 3.05 6.78 7.29 8.17
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- CLO 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.Problem 17. For the tree in Problems 13 and 14. knowing the tension in cable AB 13 950 lbs 1bs and the tension in cable AC is 810 lbs. determine the magnitude and direction of the resultant force atA Write the force vector of the resultant A in terms of its unit vectors. 45° 25 40 P.Given vectors: A = 8.3i + 3} and B= 6.5i + 7.4) Find AXB O a. 73.00 O b. 76.15 O c. 41.92 O d. 80.92 e. 31.75
- 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.Shown is the v vs. t curve. What is the area A of the shaded region under the curve?In the Bohr model of the hydrogen (H) atom, the electron moves on a circular path (orbit) around the nucleus,which consists of a single proton. In the ground state of H (the lowest energy level of H), the electron orbitsthe proton at a distance of 0.529 A (or 5.29 × 10^−11 m; 1 A˚ = 10^−10 m) with a linear speed of 2.19 × 10^6 m/s.(a) What is the angular speed of the electron?(b) How many orbits around the proton does the electron make each second?(c) What is the electron’s centripetal acceleration?