Please answer all 4, thanks. Given A --6a, 3a, +2a, the projection of A along a,...
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute (a) the scalar product A.B (b) the angle between A and B (c) the scalar projection of A on B (d) the vector product AxB (e) the area of the parallelogram whose sides are specified by A andB () the volume of a parallelepiped defined by vectors A, B and C (g) the vector triple product A x (Bx C) Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute...
The magnetic field intensity in all of space is given in terms of spherical coordinates: (1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
2. Perform the operation: a) (9a-3a+2)+(4a-4a+2)+(-12a +6a-3) b) (8m2-7m)-(3m2 +7m-6) c) (4x+2xy-3)-(-2x+3xy+ 4 ) d) (9a-3a +2)- (4a -4a +3) + (-12a +Sa-3)
1,5 In Problems 1-9, consider the given vector x. Find the vectors that result from each of the following: (a) stretch by a factor of c (sketch the original vector and the resulting vector) (b) rotation by an angle of ф (sketch the original vector, the angle of rotation, 716 Appendix B. Selected Topics from Linear Algebra and the resulting vector) original vector, the line of projection, and the resulting vector) the original vector, the line of reflection, and the...
If a curve whose polar equation is r-r0) is rotated about the pole though an angle φ, then an equation for the rotated curve is r " no- Write an equation for the limeçon「-4-sin θ after it has been rotated counterclockwise by the given amount. Uso a graphing utility to graph the rotated limaçon for θ m/4, θ-n/2, θ π, and 3a/2. (Match the rotation to the correct graph.) (a) θ π/4 rotation r- graph (b) /2 rotation r- graph...
hello this Electromagnetics class i just want to help me with tis three questions please answer all of them with clear step and clear picture and easy way please. thank you. 16. A rectangular path whose length is 2m on one side and 1m on the other is in the xz plane as shown. The path has 4 segments which are numbered I though 4, as shown. If B-2px +4yzy+2zz , what is the circulation of B , i.e., φ...
Sign In d share 1. Plot the points (r, θ)-(3, π), ( 2år) , (1, π/4) and find the Eport PDA Create FDF Edit PDF rectangular (Cartesian) coordinates of the ponts without using a ca culator 2. Plot the point with rectangular coordinates (z, y)- and find the polar coordinates (r,0) for the point with r > 0 and 0 < θ < 2π without using a calculator. Then, find two other ways to write the point in polar coordinates....
1a throught 1d please < G- (20 points total) A surface is parametrized as: x(φ, θ)-25in(n) * Cos(0), y (φ, θ)- 25in(p) * Sin(θ), z-4Cos(p) for 0 φ π and 0 f 2m (a) Does this surface pass the point (1,2, 3)? If ye reason. (b) What is the normal vector of the surface at any given (p, 0) within the parameter domain? (e) What is the normal vector at ) (d) What is the equation for the tangent plane...
please show all the steps 15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2, P(3,4) a. Find the gradient and evaluate it at P The gradient at P is b Find the angles θ with respect to the positive x-axis associated with the directions of maximum increase, maximum decrease, and zero change What angle(s) is/are associated with the direction of maximum...
Could you please 1.question ЕЕ211 Electromagnetic Field Theory 1 Homework 2 Due by 12th of Nov, 2018 at 5 PM ANTALYA BILIM UNIVERSITY Homework 2 Q1. Given three vectors A, B, and C A-a +2a, -3a, Find (a) unit vector along A. (b) IA -BI (c) A.B (d) the angle between vectors A and B (e) The vector component of A in the direction of C. (f) AxC (g) A. (x C) and (A x B).C (h) (A x B)...