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Vector Addition

Vector Addition. Defining the Vectors Resolving the Vectors Finding the Resultant. Defining the Vectors. You are given two vectors; They are:. 10 m, 20 deg from N. 20 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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Vector Addition

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  1. Vector Addition Defining the Vectors Resolving the Vectors Finding the Resultant

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

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

  4. Resolving the 2nd Vector 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 m 20 deg ADJ = x = HYP * Cos (Angle) ADJ = x = 20 m * Cos (20 deg) = 18.8 m, E

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

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

  7. Combining the x and y components to get the resultant. N 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 R 16.24 m, N So, R = 27.5 m, 53.8 deg from North Angle 22.22 m, E

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