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- If A - B = 0 and Ã × B = 0 what can we say about Aand B? Select one: a. None of the other options O b. Ā is proportional to B O c. Ä is perpendicular to B O d. Ā is parallel to B O e. A is opposite to BAcademic Departments ETC - CIMS The components of vector A'are given as follows: Ax = 5.6 Ay = -4.7. What is the angle between vector A'and positive direction of x- axis? a. 127° O b. 90° O c. -40° O d. +40° If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we know about a and b? O a. they are in different planes O b. they are perpendicular they are in different directions d. They are parallelProblem 2 (Nodal Analysis): Find V. Express the result in polar form. j4 2 ll + V, 2/0° A (4 5Ω -j3 Q 3/45° A
- Question 1: a. Determine the two unit vectors that are orthogonal to Question 1: a. Determine the two unit vectors that are orthogonal to v = 〈−2, −1〉. Which two unit vectors areparallel to v?b. A water molecule is shown schematically in Figure below. The distance from the center of theoxygen atom to the center of a hydrogen atom is 0.96 Å, and the angle between the hydrogen atomsis 104.5°. Find the center-to-center distance between the hydrogen atoms. 1Å =10-10m = 〈−2, −1〉. Which two unit vectors areparallel to v?b. A water molecule is shown schematically in Figure below. The distance from the center of theoxygen atom to the center of a hydrogen atom is 0.96 Å, and the angle between the hydrogen atomsis 104.5°. Find the center-to-center distance between the hydrogen atoms. 1Å = 10-10 m.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.v = i - 5j, w = 2i +j+ 2k and the angle between v and w is 45, find v. w and v X w
- 1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. IIGiven two vectors A= 7i + 4j - 2k, and B= 3i – 10j + 3k, calculate the angle between them, where i, j and k are unit vectors: A. 206.8 B. 112.7" C 116.3 D. None of these E. 220PAGE 316 HOMEWORK CHAPTER 12 7. A ring made of gold (atomic weight 196.967) has a mass of 4.00 g. How many gold atoms are in it? Ans. 1.22 x 1022
- Determine the magnitude of A+B. A = 2i – j+ 4k B= 4i + 2j– k A. V43 B. V46 C.-V46 D. V22Evaluate an area of a surface where the vector that is normal to the surface is defined as; a. R = 4yz az for 110.4.77 Two forces of magnitude 40 newtons (N) and 20 N act on an object at angles of 30° and -45° with the positive x-axis as shown in the figure. Find the direction and magnitude of the resultant force; that is, find F1 +F2- F|-4 = 40 N 30° - 45 I|Fl = 20 N F1 +F2 = (48.78) i+ (5.86) j (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)SEE MORE QUESTIONS