A dog-walker is walking three dogs fastened to separate leashes that meet in a connective hub, leading to a single leash that she is holding. Dog 1 applies a force of 8 newtons at an angle of 32 degrees. Dog 2 applies a force of 10 newtons at an angle of 110 degrees. Dog 3 applies a force of 5 newtons at an angle of 280 degrees.
Part A: Find the magnitude of the resultant force when the 3 vectors are added together. (to 3 decimal places)
Part B: Find the direction in degrees of the resultant force when the 3 vectors are added together. (to 3 decimal places)
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