MATH 2374 Lecture Notes - Lecture 1: Cross Product, Parallelogram, Parallelepiped
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This is a second way to multiply vectors. If you got a scalar you are confused. Why can"t you cross a mosquito with a mountain climber?1. You can"t cross a vector with a scalar! A x b is orthogonal to both a and b. A x b is the vector orthogonal to both a and b of length |a||b|sin( ) satisfying right hand rule. V x u is orthogonal to both v and u and satisfies the right-hand rule. Corollary: vectors (3-dimensional) are parallel if and only if their cross product is 0. Let u,v be 3 dimensional vectors a assume u and v are parallel. Parallel implies that u=c*v for some real number c. Parallel implies that the angle between u and v is =0 or . At least one of |u|,|v|, sin is 0. Find a vector that"s orthogonal to the plane containing (2,1,5), (-1,3,4), (3,0,6) A x b x c is meaningless without parentheses.
