Mathematics 1229A/B Lecture Notes - Lecture 5: Parallelogram, Qi

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Vicki Olds

Document Summary

Theorem thearea of theparallelogram determined by u and u is. I t l x l o o e j k i i e ix i k j. Example findthe area of the triangle determinedby points pact 1,2. Pi q p co o 2 u v c l. 2 cl c l o c 1 co. The volume of the parallelepipeddeterminedbythevectors u vand w is. 9 l u x v wi a www w wa utv. Example findthevolume of theparallelepiped determinedbythevectors well i l ve l l o o and we ll l 01. Point normal for a plane let u bea non zerovectorand pbea point in rs thereexists a uniqueplane that contains pand is perpendicular tothelinedeterminedby a namethis planeby it n normalvector. Po bet x x y 2 beapointintl thenthevectorx p isorthogonal to n then n x p 0. 12,37 with normalvector ne ll l x p 0 n. I t y 2 t z 3 i o.