Homework Answers
a) A = 3i + 2j
B = -2i - 5j
F = A - 4B
= 3i + 2j - 4(-2i - 5j)
= 11i + 22j
F = 11i + 22j
b) magnitude = sqrt(11^2 + 22^2) = 24.6 N
direction = tan^-1(22/11) = 63.43o from the x-axis
2) The force that a magnetic field exerts on a charged particle is given by Ę...
2) The force that a magnetic field exerts on a charged particle is given by Ę = qö xĒ. A particle with mass m= 2.0x108 kg and charge q = +2.5x10-8C has an initial speed of v = 4+2 x 103 m/s (in the x- y plane). The magnetic field vector and velocity vector are B and û, respectively are displayed on the coordinate axis below. The angle between the vectors is 135 degrees. Use unit vector notation when describing...
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the r...
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the resulting triple integral into cylindrical coordinates, find the exact value of the flux integral F.n do, assuming that S is oriented in the positive z-direction. (Recall that since the surface is oriented upwardly, you should use the vector -fx, -fy, 1)...
8. If ü= 8i - 15j and = -31 - 4; and w = 121 +...
8. If ü= 8i - 15j and = -31 - 4; and w = 121 + 6j, then find the following: A. 2w - 3ü B. ||2u - 501 C. J. D. the angle between ü and v E. the direction angle of vector w F. (3x + 70). a vector in the same direction as u with magnitude of 12 a vector orthogonal to vector V with magnitude of 7 any vector that is orthogonal to the vector w...
please help with a b and c (39) Let f(x. exyt xy² a) compute the tangent...
please help with a b and c
(39) Let f(x. exyt xy² a) compute the tangent plane fixiy at (21) b) compute the directional dirivative of f(x, y) at (2,1) in the direction of unit vector U=31 - 2 C in what direction from (2, 1) does fixiy) have the steepest rate of increase?
1.Let A = 3m@200 South of E, B = 2m North, and C = 5m@700 South...
1.Let A = 3m@200 South of E, B = 2m North, and C = 5m@700 South of West. Write A, B, and C in component form using unit vectors. Find the magnitude and the direction of D= A+B+C 2.Two vectors are given by 16m at 45 degrees from the x axis and 25 m at 30 degrees from the x axis. a. Draw the two vectors to scale. Start the second vector at the end of the first vector. Draw the resultant vector.
For questions 19-23 use vector 7 (10.02 + 20.0+30.0k) ft 19. What is the magnitude of...
For questions 19-23 use vector 7 (10.02 + 20.0+30.0k) ft 19. What is the magnitude of vector ? 20. What is the unit vector in the direction of vector ? 21. What is the direction angle 0, for vector i? 22. If the magnitude of a force in the direction of vector F is 20 lbf, express the force in Cartesian form. 23. Add these two vectors A = (10. 0i +20.0j + 30.0k) ft and B = (-20.01 10.0j...
Force F acts at point O. Let Fi and F2 denote the components of F such...
Force F acts at point O. Let Fi and F2 denote the components of F such that F F1F2. The figure shows component F F=41b F1 = 6 lb 76° 24° Determine the magnitude in pounds and direction in degrees counterclockwise from the +x-axis of component F2. magnitude direction lb o counterclockwise from the +x-axis
The two vectors a and b in the figure have equal magnitude of 26 m and the angles are θ1=21° and θ2 = 97°
The two vectors a and b in the figure have equal magnitude of 26 m and the angles are θ1=21° and θ2 = 97°. Find the x-component of their vector sum r.Find the y-component of their vector sum r.What is the magnitude of their vector sum r?Find the angle that their vector sum r makes with the positive direction of the x-axis.
Force F acts at point O. Let F1 and F2 denote the components of F such...
Force F acts at point O. Let F1 and F2 denote the components of F such that F = F1 + Fつ. The figure shows component F 1* F 4 lb Fi = 6 lb 80° 24° 0 Determine the magnitude in pounds and direction in degrees counterclockwise from the +x-axis of component F2 magnitude direction Irg counterclockwise from the +x-axis
1) (30 pts) A Force is given with F= BC kN in the figure below. According...
1) (30 pts) A Force is given with F= BC kN in the figure below. According to this configuration, please; a) write the force in Cartesian vector form, b) write unit vector of AB in Cartesian vector form, c) find magnitude of the projected component of the force Facting along the axis AB of pipe. d) determine the projected component of the force Facting along the axis AB of pipe in Cartesian vector form. B 4 m 6 m 3...
2) The force that a magnetic field exerts on a charged particle is given by Ę = qö xĒ. A particle with mass m= 2.0x108 kg and charge q = +2.5x10-8C has an initial speed of v = 4+2 x 103 m/s (in the x- y plane). The magnetic field vector and velocity vector are B and û, respectively are displayed on the coordinate axis below. The angle between the vectors is 135 degrees. Use unit vector notation when describing...
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the resulting triple integral into cylindrical coordinates, find the exact value of the flux integral F.n do, assuming that S is oriented in the positive z-direction. (Recall that since the surface is oriented upwardly, you should use the vector -fx, -fy, 1)...
8. If ü= 8i - 15j and = -31 - 4; and w = 121 + 6j, then find the following: A. 2w - 3ü B. ||2u - 501 C. J. D. the angle between ü and v E. the direction angle of vector w F. (3x + 70). a vector in the same direction as u with magnitude of 12 a vector orthogonal to vector V with magnitude of 7 any vector that is orthogonal to the vector w...
please help with a b and c
(39) Let f(x. exyt xy² a) compute the tangent plane fixiy at (21) b) compute the directional dirivative of f(x, y) at (2,1) in the direction of unit vector U=31 - 2 C in what direction from (2, 1) does fixiy) have the steepest rate of increase?
For questions 19-23 use vector 7 (10.02 + 20.0+30.0k) ft 19. What is the magnitude of vector ? 20. What is the unit vector in the direction of vector ? 21. What is the direction angle 0, for vector i? 22. If the magnitude of a force in the direction of vector F is 20 lbf, express the force in Cartesian form. 23. Add these two vectors A = (10. 0i +20.0j + 30.0k) ft and B = (-20.01 10.0j...
Force F acts at point O. Let Fi and F2 denote the components of F such that F F1F2. The figure shows component F F=41b F1 = 6 lb 76° 24° Determine the magnitude in pounds and direction in degrees counterclockwise from the +x-axis of component F2. magnitude direction lb o counterclockwise from the +x-axis
Force F acts at point O. Let F1 and F2 denote the components of F such that F = F1 + Fつ. The figure shows component F 1* F 4 lb Fi = 6 lb 80° 24° 0 Determine the magnitude in pounds and direction in degrees counterclockwise from the +x-axis of component F2 magnitude direction Irg counterclockwise from the +x-axis
1) (30 pts) A Force is given with F= BC kN in the figure below. According to this configuration, please; a) write the force in Cartesian vector form, b) write unit vector of AB in Cartesian vector form, c) find magnitude of the projected component of the force Facting along the axis AB of pipe. d) determine the projected component of the force Facting along the axis AB of pipe in Cartesian vector form. B 4 m 6 m 3...
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