Mathematics 1229A/B Lecture Notes - Lecture 8: Dot Product, Hyperplane, Ofu-Olosega

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MATH 1229A/B Full Course Notes
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MATH 1229A/B Full Course Notes
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Example line l passesthroughthepoints i i l andcl 2,3 a givean equation in 2 pointformforline l. Givean equation in pointparallelform fr line l c giveparametricequationsfor1re l a x t pcl t l t x y z e t g t i l l t 442,37 twopointform tu i l. 1 i l l t t l ll l l t lo i 2. Ifyouhave 2 points gandp youdog p tofindthedirection vector fa t 41 2,37 t u2,3 point parallelform wantp i tu v ct2,37 u l l. I eco c y e l t t za l 2l parametricform. Example ifthepoint u 2 k liesontheline cxy 2. Which ifany of thepoints acl2,3 bc2 o o andcc l 1,2 lie on this plane in u i 2 coefficients oflx y z a b. All 2,3 l t 2 t263 1 2 x c2 co 1203 2 xty122. Rmdenotestheset of allordered m tuples u lu ua um.

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