ENGG 1500 Lecture 2: ENGG1500 Lecture 2 WITH EXAMPLES
Document Summary
Have origin o and two mutually perpendicular axes ( x1 and x2 ) [often referred to as x and y] Set of all vectors having the following form. Where x1 and x2 are real numbers called components. Y=[ y1 y2] y2]=[ x1+ y1 x2+ y2] as point p( p1 , p2) and t r then and t x=t[ x1 x2]=[tx 1 tx 2] Ex 2 if c=2 and d= 3 , and. A line through the origin in r2 is a set of form. Ex 3 write the equation of a line through p(3,4) vector equation of. 4 ] is written as parallel to the line with the. X= p+t d becomes {x1= p1+t d1 (2) x2= p2+t d2. To get the equation of a line in scalar form, eliminate t if d1 and d2 0 x1 p1 d1 x2 p2 d2 t d1=x1 p1 t= t d2=x2 p2 t= )d2+ p2 x1=( x2 p2 x2=( x1 p1.