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- Add the following vectors using head-to-tail method as well as the parallelogram method and verify your results using the component method. 1. Vector A has a magnitude of 4.0 cms at an angle of 30 degrees with the positive X-axis; vector B has a magnitude of 3.0 cms at 90 degrees with + X-axis; vector C has a magnitude of 5.0 cms at 120 degrees with + X-axis. 2. In addition to vectors A, B, and C in problem # 1, there is a vector D with a magnitude of 6.0 cms at an angle of 210 degrees with +X-axis.1:44 LTE O A instruction.gwinnett.k12.ga.us Adding Vectors Practice Name Per Solve the following vector problems by doing the following: 1- SKETCH THE VECTORS OUT AS MUCH TO SCALE AS POSSIBLE 2- Make an X and Y chart to organize the vectors. Make all vectors that go UP or to the RIGHT POSITIVE. Make all the vectors that go DOWN or to the LEFT NEGATIVE! 3- Derive TWO final vectors from your chart: One Horizontal 'X' vector and One vertical 'Y' vector. 4- Solve for a Resultant!!! 5- Remember that DISTANCE is used to determine SPEED. It is all the vectors added together!! 6- Remember that DISPLACEMENT is used to determine VELOCITY. It is your RESULTANT vector!!! Practice 1: Willy the great white shark swims in the ocean hunting for his favorite meal, seals! He swims 200m N, 150m E, 100m S, 500m W, 100m S, 200m E, 150m N over the course of 8 hours. Make a sketch of the journey and determine the following: 1. What was Willy's total distance in meters traveled at the end of the trip? 2. What…3) Do as instructed: a. Simulate Vectors A, = 111.8 and A, = 32.4 b. Solve for the Resultant Vector and write your solutions in the box below: c. Simulate the resultant vector at an angle of e = 16'. Take a screenshot of the simulation and paste it on the space below:
- Chapter 2, Problem 2/089 Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between F and the positive y-axis. F = 45 N 130 45 65 Dimensions in millimeters Answers: F = k) N + Click if you would like to Show Work for this question: Open Show WorkVector A has a magnitude of 36 units and points in the positive y direction. When vector B is added to A, the resultant vector A + B points in the negative y direction with a magnitude of 28 units. Find the magnitude and direction of B. -64j 270 magnitude X Your answer cannot be understood or graded. More Information unit(s) direction ° counterclockwise from the +x-axis Need Help? Read It Viewing Saved Work Revert to Last Response 5:26 PM O Type here to search E 4) 10/14/20204. If vector A is added to vector B, the result is –9i – 8j. If B is subtracted from A, the result is 5i + 4 j. Find vectors A and B in ijk unit vectors. Show all your work and reasoning! (Ignore units on A and B) Draw the vectors in a coordinate system too! Show the sum and the difference using parallelograms!
- Solve the problem below using the both component and polygon method. Note: the resultant vector should be expressed using a magnitude and a direction. An object P is acted upon by forces. Determine the force needed to prevent P from moving.A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
- A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point b(4.0m,1.5m,2.5m) to point e(1.0m,4.5in,0.5m) . Find the scalar components of the fly’s displacement vector and express its displacement vector in vector component form. What is its magnitude?A snow-covered ski slope makes an angle of slope = 29.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.20 m at 0 snow = 17.0° from the vertical in the uphill direction as shown in the figure below. 0₁ snow Oslope (a) Find the component of its maximum displacement parallel to the surface. 0.32 X Your response differs from the correct answer by more than 10%. Double check your calculations, m (b) Find the component of its maximum displacement perpendicular to the surface. 1.14 X Your response differs from the correct answer by more than 10%. Double check your calculations. mAn airplane flies northwest for 250 mi and then west for 150 mi. Find the resultant (or sum) displacement vector by a) graphical method and b) the component method. 2. A ship was seen on a radar screen to be 10 km east of a particular location. Sometime later, the ship is at 12 km north of west. What is the displacement of the ship?