MATH106 Lecture Notes - Lecture 7: Proj Construction
Document Summary
Ito a sum of two special vectors where 2 g 27 2 2 is in the samed tas and. How do we find it ez when 5 is more complicated. 1 is parallel to 5 i. e a multiple of f so. To find k take the dot product of e and j. I and i the projection of g onto 5 and the perpendicular part are in r with ito then is is projxy perp j fj. gg y g proj g. From this definition it"s clear that lily. pro ii projg is. What what is the projection of 5 134 is the perpendicular part onto e f. Solution we have that proj y y x. 5 25 and perp g j projej l. 3 and 5 121 find projej perp g to. 11 112 10 and i g x perp j ff. oi projxy f. io f j ff. 104 and g i so projgx ffgffy. fi g fioi.