MTH 234 Midterm: Calc III Exam 1 Review
Document Summary
12. 1 - three-dimensional coordinate systems: know how to plot points and simple curves in r3, recall the distance formula, recognize equations of spheres and using completing the square to determine their center and radius. 12. 2 - vectors: recall properties vector addition and scalar multiplication and be able to use them fluently in more difficult problems (such as those in 12. 5). Know the definition of the dot product and its properties. Be able to find the angle between vectors using the dot product. 12. 3 - the dot product draw a picture of what they are and how they relate. Calculate out easy work problems w = f d. 2 lines (find the point of intersection) Be able recognize and express planes as a scalar equation. 2 planes (find the line of intersection) 1 line and 1 plane (find the point of intersection) or determine that they will not intersect.
