# Vectors: Resultant Vector

1. Two students are using ropes to pull on a heavy object, as shown in the diagram below.

a. Using your knowledge about right triangles, with how much force will the object move? (2 marks)

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b. Solve for the angle of the object relative to the 500 N force, to the nearest degree. Use your knowledge about right triangles and show your work. (2 marks)

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2. A person walks along a path from Point A to Point B, as shown below.

a. Draw a vector diagram that includes the resultant vector if the person walked straight from Point A to Point B. (2 marks)

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b. Determine the direction and the straight -line distance that the person is from point A when she is at point B. (4 marks)

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https://brainmass.com/math/vector-calculus/vectors-resultant-vector-294501

#### Solution Preview

1. Two students are using ropes to pull on a heavy object, as shown in the diagram below.

a. Using your knowledge about right triangles, with how much force will the object move? (2 marks)

< >

As the magnitude of the resultant vector is given by the third side of the triangle and the triangle here is a right angled triangle it is given by

Or N

b. Solve for the angle of the object relative to the 500 N force, to the nearest degree. Use your knowledge ...

#### Solution Summary

The solution finds resultant vectors. Vector diagrams are provided for resultant vectors.