a) A = 57- こ 251 B=-31-5ŷ t Sx 725 2 5² + 2² = A magnitude 25+4 = AZ 2 029 = 0 A² - 3x -Sy 29 = A -3² + -5² = B² 9 + 25 B² 034 =√√3² 6=B magnitude + Components of C = 2A+ B A-31 C= 2416 b) Find the D- = c) C= 2(29) + 6 C = 252a+s =A3B D= (√29) -3(6) D √29-18 TA टे 22 Problem 1 Vectors i. Consider the vectors A = 5 + 2y and B = -3-5ŷ. (a) Find the magnitude of each. (b) Find the magnitude and components of C = 2A + B and D = A-3B. (c) Draw all four vectors (A, B, C, D) on a single plot/coordinate system. ii. (d) You are camping and decide to explore the area. You walk the following path: (1) a distance To to the north, (2) a distance 420 to the east, (3) a distance √20 at angle of 45° north of east, and finally (4) a distance 320 to the south. How far from camp are you? What is the total distance you walked? How would your answers change if you did the steps in reverse?

a) A = 57- こ 251 B=-31-5ŷ t Sx 725 2 5² + 2² = A magnitude 25+4 = AZ 2 029 = 0 A² - 3x -Sy 29 = A -3² + -5² = B² 9 + 25 B² 034 =√√3² 6=B magnitude + Components of C = 2A+ B A-31 C= 2416 b) Find the D- = c) C= 2(29) + 6 C = 252a+s =A3B D= (√29) -3(6) D √29-18 TA टे 22 Problem 1 Vectors i. Consider the vectors A = 5 + 2y and B = -3-5ŷ. (a) Find the magnitude of each. (b) Find the magnitude and components of C = 2A + B and D = A-3B. (c) Draw all four vectors (A, B, C, D) on a single plot/coordinate system. ii. (d) You are camping and decide to explore the area. You walk the following path: (1) a distance To to the north, (2) a distance 420 to the east, (3) a distance √20 at angle of 45° north of east, and finally (4) a distance 320 to the south. How far from camp are you? What is the total distance you walked? How would your answers change if you did the steps in reverse?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 42PQ: The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 =...

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