stellar mit edu S course 18 fa14 18 02 syllabus p sets all materials Grading midterms 40 p sets 30 nal 30 Midterms September 23rd October 17th November 7th and December 2nd have both direction and magnitude length usually drawn as arrows Use Pythagorean theorem to nd length the vector v mores 2 in the x direction and 2 in the y direction v 2 2 2i 2j Lecture 1 General Information Vectors Vectors in R i 1 0 0 j 0 1 0 k 0 0 1 Dot Product Pythag Vector addition v v v v and w w w w so v w v w v w v w Scalar multiplication where r R and v v v v rv rv rv rv Using the dot product geometrically If the dot product equals zero the vectors are perpendicular Can also be used to nd the plane that is normal To get the length of a vector you dot it with itself
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