We continue our study of vectors.<\/p>\n\n\n\n
We can simplify the position of a point P on a plane by the vector OP where O is a reference point on the plane. The vector OP is called the position vector of P with respect to the reference point O. That is, every point on the plane can be represented by its position vector wrt the reference point O.<\/p>\n\n\n\n
Then vector PQ = vector OQ \u2013 vector OP.<\/p>\n\n\n\n
Furthermore, when we look at the coordinate plane for a point P (x, y), we can use its coordinates x and y to represent its position vector with respect to the origin O. We introduce column vector notation. A column vector is like a special form of a matrix (2 rows, 1 column). All matrix operations apply to column vectors.<\/p>\n\n\n\n
We can apply what we have learned about vectors to help us solve geometry problems.<\/p>\n\n\n\n
Notice when vector AB = vector DC, it means line AB is parallel to line DC and AB = DC.<\/p>\n\n\n\n
Homework: Page 1<\/a>, Page 2<\/a>, Page 3<\/a>, Page 4<\/a>, Page 5<\/a>, Page 6<\/a><\/p>\n\n\n\n Workbook Page 33: # 8, #9, #13, #19 \u2013 #26<\/p>\n\n\n\n