13.1 Second Semester Review Find the domain of the vector-­‐valued function. 3. 1. 4. 2. Write the vector-­‐valued function and parametric equations for the line through P and Q. 5. Sketch the curve and use arrows to show the direction the curve is traced as t increases. 6. 7. Find the limit, if it exists. 9. 8. 11. 10. Find a vector valued function for the curve of intersection of the two surfaces, with the given parameterization. 12. 13. 14.
The following functions represent particles moving in space (particle r and particle u.) They will collide if they cross the same point in space at a given time t. Will these particles collide? Do their paths intersect? 15. 16. Answers: 1. 2. 3. −2, 2 4. 10. 11. 5. 12. 6. 13. 7. 14. 15. 8. 9.