What Is the Magnitude of the Resultant Vector A+B+C?

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To find the magnitude of the resultant vector A+B+C, first convert each vector into its component form using trigonometric functions based on their angles. Vector A has components of approximately 7.34 m east and 3.43 m north. Vector B, pointing west of north, has components of about -0.86 m east and 2.34 m north, while Vector C, pointing west of south, results in approximately -2.49 m east and -1.67 m south. After summing the components, the resultant vector can be calculated, yielding a final magnitude. Understanding vector addition and component breakdown is crucial for solving such problems effectively.
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Vector A = 8.10 m and points 25.0o north of east. Vector B = 2.50 m and points 20.0o west of north, and Vector C = 2.90 m and points 35.0o west of south. What is the magnitude of the resultant vector A+B+C?
 
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emd8 said:
Vector A = 8.10 m and points 25.0o north of east. Vector B = 2.50 m and points 20.0o west of north, and Vector C = 2.90 m and points 35.0o west of south. What is the magnitude of the resultant vector A+B+C?

This is a pretty basic problem, but you should show some effort. No one wants to just solve homework problems. How much do you know? Do you know how to write the vectors in component form? Do you know how to add vectors?
 
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