Culminating Task 2 Marks: 40 Figure Skating Investigate and Apply: A female figure skater is attempting to perform a quadruple spin jump. She sets up her jump with an initial skate along vector D. She then plants her foot and applies a vertical force at an angle according to vector E. This causes her to leap into the air and spin. After landing, her momentum will carry her into the wall if she does not apply force to stop herself. So, she applies force along vector F to slow herself down and change direction. Z E [0, 30, 30] o Y [0, 0, 0] D [O, 20, 0] F [15, 5, 0] X Answer the following: 1. Add D and E to find the resulting vector A for the skater's jump. The angle between D and E is 45 . Calculate the coordinates for vector A, and prove the angle between vectors D and E is 450 (A) 2. Discuss why the skater will return to the ground even though the vector of her leap carries him in an upward direction. (T/I, C) 3. Rewrite the resulting vector A without the vertical coordinate. For example, if vector components [20, 30, 15], rewrite as [20, 30] (C) 4. Vector E is a point found in the line, and vector F is a direction vector. a) Draw the line that passes vector E. b) Find the scalar equation of the line that passes through vector E c) Write the scalar equation of the line into vector equation and parametric equation d) Write the normal vector of the scalar equation found in a). (K, C, A) 5. Add vectors A and F to find the resulting vector B as the skater applies force to slow down and change direction. (A) MCV4U Page 4 of 6