Three vectors are shown in the figure below, along with an x-y coordinate system.y (m)3f2-x (m)-5 -4-3\-2234-1+-2--3-4Define the vector R to be the vector sum of the three vectors A, B, and C. In equation form, R = A + B + C.(a) Find the magnitude of the vector R.m(b) Find the direction of the vector R. Specify the direction as an angle measured counterclockwise from the positive x-axis. In the sport of orienteering, participants must plan carefully to get from one checkpoint to another in the shortest possible time. In one case, starting at a particular checkpoint, Sam decides to take astraight path that goes west for 500 meters, and then go northeast for 500 meters on another straight path to reach the next checkpoint. Northeast, by the way, means 45 degrees to both north andeast.Between the same two checkpoints, Mary decides to take the shortest distance between the two checkpoints, traveling off the paths through the woods instead.(a) What is the distance that Mary travels between the checkpoints? (Note that Sam travels a total distance of 1000 m, although his speed is probably significantly higher than Mary's.)923.8X m(b) In what direction does Mary go? Specify her direction as a positive angle, measured counterclockwise from east.

From the figure adding vector A+B+C = R a) now the magnitude of the…

Answered: Three vectors are shown in the figure…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 7CQ

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