Explain how to add vectors using the analytical components method. Draw a diagram to accompany your explanation.
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- Chapter Exercise 1.39 - Enhanced - with Solution Given two vectors A =-2.00i+ 3.00 j+ 4.00k and B= 1.00i+ 2.00j- 3.00k, do the following. Part A You may want to review (Page). Find the magnitude of the vector A. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. |A| = Submit Request Answer Part B Find the magnitude of the vector B. |B| = Submit Request Answer Part C Find the components of the vector difference A B %23a student begins her drive to school by traveling 14 miles in a direction of 45 degrees north of east. Next she travels 5 miles north. Finally, she travels 10 miles east when she arrives at school. a.) create a vector diagram showing the student’s path b.) determine the magnitude of the resultant vector c.) determine the direction of the resultant vector (0r) d.) determine the total distance drivenIs the following statement true or false? Explain. If the wind is blowing from the southwest, then the bearing for the wind vector is 225°. Choose the correct answer below. O A. The statement is true because a wind blowing from the southwest would cause the air to travel northeast, which would be a vector represented by a 225° angle. B. The statement is false because a wind blowing from the southwest would cause the air to travel northeast, which would be a vector represented by a 45° angle. C. The statement is false because southwest would be represented on the unit circle by a vector pointing into the middle of quadrant 1, which is a 45° angle. D. The statement is true because southwest would be represented on the unit circle by a vector pointing into the middle of quadrant 3, which is a 225° angle.
- Knowledge Check: Drawing a Vector, Problem Please answer the following question(s): In this problem we practice drawing vectors that are combinations of other vectors. You will graphically combine the vectors 2A-1/2 B to find the resultant vector R. Find the resultant vector R=2A-1/2 B from the selection of vectors provided below. Place vectors at the location starting from the blue dot and keeping the order of addition as 2A-1/2 B. Finally, use the R the resultant vector starting from the blue dot. (The answer to this problem is on the next page, Drawing a Vector, Solution.) 1. Use the graphical method to construct the vector 8 R = 2A B 2. Place the vectors tail to head 3. Start from the point indicated in blue 4. Draw the resultant vector R -12 1/4 -8 -10 12 B A -6 -A -2 711 2 B 6 R 2 -2 2 4 6 8 10HELP FILLING IN BLANKS IN THE PROCEDURE. Procedure 4: Adding Vectors Graphically If you use a ruler and a protractor to draw a series of vectors to scale, the resultant will run from the beginning of the first vector to the end of the last vector. In the picture below, measure the lengths and angles of vectors A, B and C and record these in the 2nd and 3rd columns on the datasheet. Remember to measure angles CCW from the positive x axis. Using cos and sin, calculate the x and y components of vectors A, B and C and record these in the last two columns on the datasheet. Add the x components in the next-to-last column and the y-components in the last column Use Pythagorean Theorem and ArcTan to calculate the magnitude and direction of R Measure the length and angle of vector R Confirm that these two measurements of R match "Fixing the angle" After you do the "four step method" to add vectors, you sometimes have to "fix the angle". Remember that we always start…the resultant vector is the result of combining 3D + C. Determine the magnitude of this resultant vector. *show steps, i've gotten 3.6, 5.6, 11 - all these values are wrong.