Part A: determine the magnitude of the sum of the three vectors V1=8.0i-9.0j, V2

Question

Part A: determine the magnitude of the sum of the three vectors V1=8.0i-9.0j, V2=i+j, and V3=-2.0i+3.0j express answer using two signficant figures
Part B: determine the angle(in degrees) of the sum of the three vectors V1=8.0i-9.0j, V2=i+j, and V3=-2. 0i+3.0j express answer using two signficant figures
Part C:determine the magnitude of V1-V2+V3
Part D:determine the angle in degrees of V1-V2+V3

A Ro x Calc × Mas: × a Secure https:/isession. masteringphysics.com/myct/temView?assignmentProblemID-79127429 D MTA LIRR-Schedul. W Vladimir the GreatG romanov family tree... W Hist Apps FX Networks Problem 39 ine he megriude of the sum of the three vectors V1 -8.0 i -9.0j, V2 -i +j, and Vs2.0i +3.0j ss your answer using two significant figures 0? tMy Answers Give Up i-9.0j, V i+j. and V2.0i+3.0j emine the angle (n degrees) of the sum of the three vectors V press your answer using two significant figures 8.0 etemine the magnitude of V-V,+V, Express your answer using two significant figures. 4

Explanation / Answer

(A) V = V1 + V2 + V3

= (8 + 1 -2)i + (-9+ 1 + 3)j

= 7i - 5j

magnitude = sqrt[ 7^2 + 5^2] = 8.6

(b) direction angle = 360 - tan^-1(5/7) = 324 deg

(C) V' = V1 - V2 + V3 = (8 - 1 -2)i + (-9 - 1 + 3)j

V' = 5i - 7j

magnitude = 8.60

(D) directionangle = 360 - tan^-1(7/5) = 306 deg

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