Lecture 2 Review Unit vector Dot product A B a b a b a b Computing length A A a a a Computing angles A B A B cosO When the dot product of two vectors is zero they are perpendicular vectors Finding the projection of component of A in the direction of B If A is perpendicular to B then the component would be zero To check if something is a unit vector dot it with itself to check that the square equals one Areas of triangles and parallelograms Area of triangle 1 2b h Area of parallelogram b h Length of the base A Length of height B sinO Parallelepipeds in R Cross Products A B vectors in R A B is a vector Perpendicular to both A and B A B area parallel with sides A B Using right hand rule 1 Palm in the direction of i 2 Fingers in the direction of j 3 Your thumb will be in the direction of k Find a vector perpendicular to both 1 3 1 and 2 1 1 Triple Product A B C det A B C
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