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Projection Vectors & Work 1. Find the projection of onto and the vector component of . 2. Find the vector projection of direction of 3. Express orthogonal to for the vectors and the scalar component of in the . as the sum of a vector parallel to and a vector orthogonal to 4. A woman exerts a force of 25 lb on a crate as she pushes it up a ramp that is 10 ft long and inclined at an angle of 20°. Find the work done on the box. 1. Find the scalar component of in the direction of if 2. Find the vector projAB if 3. Write as the sum of a vector parallel to and a vector orthogonal to 4. Find the scalar and vector projections of 5. Find the vector component of orthogonal to if if . if 4. To close a sliding door on a barn, a person pulls on a rope with a constant force of 50 pounds at a constant angle of 60 . Find the work done in moving the door 12 feet to its closed position. 5. A crate is hauled 8m up a ramp under a constant force of 200N applied at an angle of 25 to the ramp. Find the work done.