**Problem 2**For the 3D object shown to the right, complete the following:a) Determine the position vector from A to B in Cartesian notation.b) Determine the position vector from A to C in Cartesian notation.c) Determine the angle (θ) between line segments AB and AC.d) Determine the unit vector in the direction of line segment AC.e) Determine how much (i.e., what length) of line segment AB is parallel to line segment AC.**Diagram Explanation:**The diagram shows a 3D object positioned within a rectangular coordinate system with axes labeled x, y, and z. - Point A is located at coordinates (1, 1, 0).- Point B is located directly above Point A at coordinates (1, 4, 3).- Point C is located on the x-y plane at coordinates (5, 3, 0).- The line segments AB and AC form a triangular face, with θ representing the angle between these segments.Distances in the diagram:- From the origin (0,0,0) to A is 1 meter along both x and y axes.- From A to B is 3 meters along the z-axis.- From A to C: 5 meters along the x-axis and 2 meters along the y-axis.

Problem 2 For the 3d object shown to the right, complete the following: a) Determine the position vector from A to B in Cartesian notation. b) Determine the position vector from A to C in Cartesian notation. c) Determine the angle (0) between line segments AB and AC. d) Determine the unit vector in the direction of line segment AC. e) Determine how much (i.e. what length) of line segment AB is parallel 1 m z I m' 5 m -3 m- B 4 m 3 m y

Problem 2 For the 3d object shown to the right, complete the following: a) Determine the position vector from A to B in Cartesian notation. b) Determine the position vector from A to C in Cartesian notation. c) Determine the angle (0) between line segments AB and AC. d) Determine the unit vector in the direction of line segment AC. e) Determine how much (i.e. what length) of line segment AB is parallel 1 m z I m' 5 m -3 m- B 4 m 3 m y

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Question 011: Complete the following question involving "x" and "y" components. Use the formulas that we went over in the lecture to convert the following vector into "rectangular coordinates" (aka: find the "x" and "y"). v =900 @ 180 ° O x = -900 y = 0 O x = -45.32 y = -21.13 O x = -5.20 y = 3 O x = 1.74 у - 19.92
SHOW ALL WORK!!! 6) (5, 180°); convert to rectangular coordinates and which quadrant it is in.
1. The cross winds hitting the plane due east is given by the formula as follows. 20 sin 2wt + 30 sin (3wt +) mph The driving wind (to a runway laying due North), directly behind the aircraft is given by the following formula. 10 cos wt - 30 cos (wt+ +7) mph If the course heading of the aircraft is due north, what is its resultant heading? Using vectors, plot the change required in course heading, and help the crew land the plane. You can ignore airspeed, turbulence etc... In addition, using software Model the combination of sine waves graphically and draw the graphical resultants of the waveforms and hence perform a graphical analysis as a comparison between your calculated results and what you have drawn.
A. Determine if p = 91-6j-24k and q=(-15,10,40) are parallel, orthogonal or neither. B. Determine the direction cosines and direction angles for D= (-3,-1/4,1)
A plane is flying with an airspeed of 150 miles per hour and heading 150°. The wind currents are running at 25 miles per hour at 175° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.) |M = [173.0 x mi/hr with heading 153.5
I need to find the distance between the planes at this moment to the nearest mile.
I only need part B Vector is v=(-7,-50) The direction of the angle is going to be in Quadrant III Part B: How far has the ship traveled in one hour? Show all work.
(a) Use your knowledge of bearing, heading, and true course to sketch a diagram that will help you solve the problem.A plane is flying with an airspeed of 190 miles per hour and heading 135°. The wind currents are running at 35 miles per hour at 170° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.) blank mi/hr? with blank? heading ° (b) Two planes leave an airport at the same time. Their speeds are 90 miles per hour and 100 miles per hour, and the angle between their courses is 36°. How far apart are they after 1.5 hours? (Round your answer to the nearest whole number.)
Solve applications involving vectors. An airplane is flying on a compass heading (bearing) of 330° at 345 mph. A wind is blowing with the bearing 310° at 50 mph. (a) Find the component form of the velocity of the airplane. (b) Find the actual ground speed and direction of the plane.
1) Complete the following magnitude equations.a) Find the magnitude llvll and the direction angle θ for the given vector v. v = - 7i + 11j llvll = ___ (Round to the nearest hundredth as needed.) θ = ___ ° (Round to the nearest tenth as needed.)b) Find the magnitude and direction angle θ of the vector. u=5[(cos 138°)i + (sin 138°)j]The magnitude is ___ and the direction angle is ___ °.c) Find the magnitude and bearing of the resultant R of two forces F1 and F2, where F1 is a force of 24pounds acting due south and F2 is a force of 46 pounds acting due west.The magnitude of the resultant R is ____ pounds. (Round to the nearest tenth as needed.) The bearing of the resultant R is S ___° (E or W). (Round to the nearest tenth as needed.)
q3