Quiz 8.3, 8.4 Review

Things to Know:

In R3, convert vector/parametric equation(s) of a plane to its scalar equation.

In R3, given 2 non-coincident lines (in vector/para) that lie on the plane, write a vector/para/scalar equation of the plane.

Determine the nature of 2 lines in R3 when the equation of 2 lines are given

(parallel and distinct, parallel and coincident, one distinct solution or skew lines)

Solve 2 lines in R3 when the system has one distinct solution

Don’t worry about the shortest distance between 2 skew lines, we will save it for the test.