Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5 -4 -3-2 -1 x (m) 5 2 4 --4 Define the vector R to be the vector sum of the following three vectors: 5A, 7B, and -3C. In equation form, R = 5A + 7B - 3C. (a) Find the magnitude of the vector R. m (b) Find the direction of the vector R. Specify the direction as an angle measured counterclockwise from the positive x-axis.

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A: A→ = 3.60 km @30o south of west B→ = 7.30 km @15o north of westC→ = 3.10 km @54o north of east

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A: magnitude of A = 8.4 km magnitude of B = 6.4 km magnitude of C = 3.5 km

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A: Given:

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A: Solution: Given that A = 15 m B = 11 m C = 12 m D = 26 m

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