Vectors Second Unit

Question 1

when given cartesian equation of a plan and vector, parametric equation or two points

Answer 1

1. make the two point into a direction vector and then use on of the points given and make it parametric
2. change that vector equation into parametric
3. plug the x,y,z into cartesian equation and then solve for your parameter
4. plug parameter into parametric equation to find point of intersection

Question 2

when given two or three different vector equations of lines (two variables which are the paramaters)

Answer 2

1. change into parametric with parameters
2. make x’s and y’s equal and and make into two equations
3. if two use system of equations and then solve

Question 3

when given two cartesian equations of planes

Answer 3

1. check if n1 isn’t equal to n2
2. eliminate one variable
3. set z = t
4. plug back into other equations and solve for x and y
5. answer should be in parametric form