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5. Determine the force as a Cartesian vector. 125N applied upward 6. Determine the work done by the force, [300,700,500] in newtons, for an object

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5. Determine the force as a Cartesian vector. 125N applied upward 6. Determine the work done by the force, [300,700,500] in newtons, for an object moving along the vector, 5, [3,1,12], in metres. 3. Consider the vectors u' = z" + Zj' 5k' and v' = 31" 4}". a) Determine u' x 17'. b) Determine the area of a parallelogram defined by if and 17'. Long Answer: Provide fullyjustied and simplified solutions to each of the following questions. 4. Determine the projection of vector v, on vector u. Vector u=[8,3] and Vector v=[2,7] 7. A force of 200N is applied to a wrench in a clockwise direction at 80 degrees to the handle, 10 cm from the centre of the bolt. Calculate the magnitude of the torque. If = 200 N 171= 10 cm 80 GShort Answer: Write the final simplified answer on the answer lines. 1. Consider points A(1, 3, 7) and B(0, 2, 4). a) What is the vector AB'? b) What is the exact magnitude of AB'? 2. Consider the vectors if = [4, 3] and 17' = [2, 5]. a) Evaluate 1F 0 17'. b) Determine the angle between u' and v

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