MATH UN1102 Lecture Notes - Lecture 24: Parallelepiped, Scalar Multiplication, Euclidean Vector

• School: Columbia University
• Department: Mathematics
• Course: MATH UN1102
• Professor: Nathan Dowlin

Document Summary

Is the line through 12,4 , 01 and 11,1 , 11 perpendicular. 2 lines are perpendicular take difference of directions and dot them = 0. Perpendicular = must intersect skew = do not intersect. Vector addition: dot product, cross product. V x w te to v & w. Iv il wi sino right - hand rule. Volumes volume of parallelepiped l u . ( v x w ) l. : f angle between us and rf xp. Tilsit ) =p ttt"t shi: a position vector p" Normal vector in = ca , b , ( pipa , pay c > , perpendicular to the plane so a position vector x - I x. y , -21 h . ( x - p 1=0 n if and only if : I t bl y - pal t cl z - ps ) - Ex ) what is the normal vector to the plane given by.