MAT 1339 Lecture 25: MAT1339 - Lecture 25 - Vector geometry of lines

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1339
• Professor: Michael Reeks

Document Summary

The equation of the slope of a straight line which. Mat1339 - lecture 20 - vector geometry of lines. We have previously seen two kinds of equations of lines: y = mx + b line where b intercepts y and y - yo = m(x - xo) can be found with any point. Scalar equation of a line: it highlights the close connection between the line and vectors. Unlike the the equation of a line y = mx + b, this equation requires moving every term to one side of the equation. It"s written as ax + by + c = 0 . Vectors for lines: imagining a vector based at the origin with a marker on the end helps finding the vector equation of the line and parallel vectors by shifting it on the line. The combination of the information given by these vectors gives us the vector equation of the line.