Add the vectors and determine the resultantVector A=22 m, northVector B=33 m, West ### Vector Addition and Resultant Determination**Exercise:**Add the following component vectors and determine the resultant. (You might want to draw them).- **Vector A**: 22 m, north- **Vector B**: 33 m, west**Options:**1. 7.4 m, 56 degrees north of east2. 40 m, 56 degrees west of north3. 7.4 m, 34 degrees west of north4. 40 m, 34 degrees west of north**Explanation:**To solve this problem, you can use graphical vector addition or the component method to determine the resultant vector. In graphical addition, you would draw vector A pointing north and vector B pointing west. The resultant vector will be the diagonal of the rectangle that these two vectors form, originating from the starting point of vector A and B.However, for the component method, you need to break down each vector into its respective components and then add those components to find the resultant vector.1. **North and South Direction**: - Vector A: 22 m north. - Vector B has no north/south component.2. **East and West Direction**: - Vector A has no east/west component. - Vector B: 33 m west.Once you have these components, you can determine the magnitude and direction of the resultant vector using the Pythagorean theorem and trigonometric functions.The correct resultant will be given by:\[ R = \sqrt{(22^2 + 33^2)} \approx 40 \, \text{m}\]The angle the resultant makes with the north direction can be found using trigonometry:\[ \theta = \tan^{-1}\left(\frac{33}{22}\right) \approx 56^\circ \]Thus, the resultant vector is approximately 40 m, 56 degrees west of north, which corresponds to the second option:- **40 m, 56 degrees west of north**This is the solution to the problem based on the given component vectors.

Answered: Image /qna-images/answer/8beaa814-68f2-412e-b90e-9b6baf737786.jpg

Answered: resultant Vector

Science

Physics

resultant Vector

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 11.4OQ: Let the four compass directions north, east, south, and west be represented by unit vectors ne . ....

See similar textbooks

Similar questions

Let the four compass directions north, east, south, and west be represented by unit vectors ne . . and respectively. Vertically up and down are represented as u and d. Let us also identify unit vectors that are halfway between these directions such as for northeast. Rank the magnitudes of the following cross products from largest to smallest. If any are equal in magnitude or are equal to zero, show that in your ranking, (a) (b) (c) (d) (e)
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. Show complete solution with given and drawing.
V. Solve the problem below by finding the resultant vector using a)graphical method with appropriate scale and b) using the component method A rural mail carrier leaves the post office and drives 220 km in a northerly direction. She then drives in a direction 60 degrees south of east for 47.0 km then finally drives eastward for 58 km. What is her displacement? * Your answer
6. When adding two perpendicular vectors, which of the following methods is best suited to determining the net vector? a) The component method c) The tip-to-tail method 7. An airplane is taking off with a speed of 260 km/h with its nose at an angle of inclination of 35 degrees. What are the horizontal and vertical components of it's motion (in that order) in km/h? 230, 110 a) b) 110, 230 c) 150, 210 d) 210, 150 8. An object is dropped and hits the ground 6.00 seconds later. From what height was it dropped? (Ignore air resistance). a) 177 m c) 294 m a) b) Magnitude adding method d) Scale diagram method 9. An object reaches a maximum velocity of v₂ by travelling a distance d, with an acceleration of a. How long of a time did this take to accomplish? 0₂²-0₁² 2ad V₂±√√v₂²-2ad a b) 289 m d) Not enough information given. c) At its max height V₂-ad 2 d) None of the above b) 10. An object is launched from the edge a cliff before falling into the water below. At a particular instant, its speed…
Help with this homework question would be great, thanks!
3) The magnitudes of the vectors C and D shown in the figure below are C = 4.0 m and D = 2.5 m. Find graphically: (a) C + D; (b) C- D Please use a protractor, ruler, and compass and work as accurately as possible. Alternatively, you could use a vector drawing program to work out the geometry
How to answer this?
please graph thank you
Need help findings components of vector and magnitude question in lab. Can someone help me find angle between R and C please? Also help filling out the component table.
Challenge question: By following triangle method or parallelogram method to graphically add the following two vectors up:
2