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Hello I need some help with these 3 questions. If you could please show me all your work on a separate sheet of paper with

Hello I need some help with these 3 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

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1. Find the volume of the triangular prism with vertices A(1, 3, 4), B(2, ~2, -4) and cm, 3, -1). (Hint The volume of a triangular prism is one-half the volume of a parallelepiped). 2. A4.5 N force which acts along the direction vector (2, 3), moves an object from A(1, 3) to 5(3, 7). Find the work done if the given units are metres. 3. Several math students are taking a break from their studies by visiting a playground. One student 5 pushes the others on a merry-go-round. The diameter of the merry-go-round is 2.8 m, and the student pushes with'a force of 40 N along the purple vector shown in the diagram. 1 m a. What torque does the student apply? b. At what angle would the student need to apply the force to achieve maximum torque? : c. If the student continues to push with a force of 40 N, what maximum torque could be 3 applied

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