2010D W2-2 Equation of plane using normal vector Rmk: note which are vectors in/parallel to the plane; which are vectors on the plane. Terminologies may vary Note the form of the equation. 2010D W2-2 Equation of plane using normal vector . . . Any idea? . Explanation: More generally, ways to represent linear “objects” in ℝ! (𝑛 ≥ 2). • Equation(s) (of which variables?) • Parametric method Example(s) For simplicity, 𝑛 = 3 (𝑛 = 2 also) ß Linked up by Explanation: ß Linked up by Explanation: Example(s) ~ sketch ~ ß Linked up by Explanation: How about “non-linear object(s)”? Basically the “same”! Counterpart of “lines” are CURVES Like “lines”, we can talk about “directions” or “slopes”. Replacing “direction” is the concept of tangent vector à To talk about it, we need the concept of “differentiation” of a vector-valued function of one variable. Rmk: The most basic part of D.G.