How would you solve these?

Before you upload your file, ensure your name appears on the top of every page of your document. 1. Find the area of a triangle with vertices A(1, 3, 5), B(-2, -3, -4) and C(0, 3, -1). 2. A 5 N force which acts along the direction vector (2, 3), moves an object from A(1, 3) to B(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 pushes the others on a merry-go-round. The diameter of the merry-go-round is 3.0 m, and the student pushes with a force of 50 N. a. What torque does the student apply? b. 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 50 N, what maximum torque could be applied? 110