Economics 1021A/B Study Guide - Quiz Guide: Cross Product, Asteroid Family, Dot Product

• School: Western University
• Department: Economics
• Course: Economics 1021A/B
• Professor: Dreeick

Document Summary

Therefore a standard form equation for this plane is. 3x + z = 0 which can also be written as. Here, we know that the plane passes through the origin, i. e. through the point. P(0, 0, 0), and has normal n = (2, 1, 3), and so we get the point-normal equation and the standard form equation (2, 1, 3) (x (0, 0, 0)) = 0. We have the 3 points p( 1, 2, 3), q(3, 2, 5) and r( 1, 1, 2). As long as these points are not (all) collinear, they de ne a plane. The vector equivalent to the directed line segment between any 2 of the points lies on this plane. 2 (question 4 continued ) (notice that since none of the vectors is a scalar multiple of any of the others then we can now tell that the 3 points are non-collinear, so they do de ne a unique plane.