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Vector Addition Defining the Vectors Resolving the Vectors Finding the Resultant

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Defining the Vectors 4 You are given two vectors; They are: 10 m, 20 deg from N20 m, 70 deg from N Next, you must resolve them into their x and y components, using sine and cosine as needed.

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Resolving the 1st Vector 10 m OPP = y = HYP * Sin (Angle) OPP = y = 10 m * Sin (70 deg) OPP = y = 9.40 m, N ADJ = x = HYP * Cos (Angle) ADJ = x = 10 m * Cos (70 deg) = 3.42 m, E 10 m, 20 deg from N 70 deg

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Resolving the 2nd Vector 20 m 20 m, 70 deg from N OPP = y = HYP * Sin (Angle) OPP = y = 20 m * Sin (20 deg) OPP = y = 6.84 m, N 20 deg ADJ = x = HYP * Cos (Angle) ADJ = x = 20 m * Cos (20 deg) = 18.8 m, E

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Adding the x components 3.42 m, E 18.8 m, E + = 22.22 m, E

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Adding the y components 9.40 m, N 6.84 m, N +=16.24 m, N

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Combining the x and y components to get the resultant. 22.22 m, E 16.24 m, NR C^2 = (22.22 m)^2 + (16.24 m)^2 = 757.466 m^2 c = 27.52 m Angle = Inv Tan (16.24 m / 22.22 m) = 36.16 deg So, R = 27.5 m, 53.8 deg from North N Angle

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