No Bullshit Guide To Linear Algebra: Geometry

9 flashcards · Mathematics · by lakesare

2. Write down the solution to the system of equation with this RREF:

3. Name 3 formulas to represent a plane.

   general equation parametric equation geometric equation

4. Name 3 formulas to represent a line.

   general equation parametric equation symmetric equation

5. Find the parametric equation symmetric equation of the line that passes through the points p = (1, 1, 1) and q = (2, 3, 4).

6. Explain the variables of the geometric equation of the plane:

   All points on the plane P can be reached by starting from the point po and moving perpendicularly to the normal vector n.

7. Find parametric equation symmetric equation for the line containing the point (x0, y0, z0), and parallel to the vector v = (A, B, C).

   Parametric equation: Symmetric equation: Symmetric equations for a line are derived from parametric equations for that line.