Question

Digh Grace Period. Get Access Today 9. 0/10 points I Prevous Answers Vectors: Adding/Subtracting Three Vectors A, B, & J are shown below. A 31, B 39, &J 16. Let R A B J. Determine the components of each vector as well as the magnitude & direction of R. For hardcopies of this assignment, you can draw R in the blank box below You are expected to know how to draw vectors and may be asked to do so on a test My 0 Vector A Vector B Vector J Vector R 60 60" Ay Direction of R relative to the vertical in quadrant Choose quadrant My Notes AsA Your 10. +.㈠10 points Vectors Adding/Subtracting Vectors vwMutolers direction of +7V peternine the cotuponents of each ve,tor as well as the magnitude 13 J-26 & w-12. Let R-7A , 3 t A, U, & VAr are shown below. I R. For hardcopies of this assignment, you can draw R in the blank box below You arelexpected to kno hov to draivvectors and may be sired toido so oniatest 654 PM 0 Type here to search

Answer 1

A_x = -A cos theta = -31 cos 60 degree A_x = -15.5 A_y = A sin 60 degree = 31 sin 60 degree A_y = 36.85 B_x = -B cos theta = -39 cos 10 degree B_x = -38.4 B_y = -B sin 10 degree = 39 sin 10 B_y = -6.77 J_x = -J sin theta = -16 sin 60 degree J_x = -13.85 J_y = -J cos 60 degree = -16 cos 60 degree J_y = -8.0 R^vector = A^vector - B^vector - J R_x = A_x - B_x - J_x = -15.5 - (- 38.4) - (- 13.85) R_x = 36.76 R_y = A_y - B_y - J_y = 26.85 - 6.77 - (- 8) R_y = 28.08 R = squareroot R_x^2 + R_y^2 implies squareroot (36.76)^2 + (28.08)^2 R = 46.26 tan theta = R_x/R_y implies 36.76/25.08 theta = 52.6 degree