Question

F (The cross produet in R) The cross produet in R is a peculiar operation, with a seeming lack of nice properties. It's not even associative, for goodness' sak Nevertheless, it's beloved by the greater physics world The goal of this problem is to get some perspective on what it does and how to handle it gebraic ally, using linear algebra. The cross product u × w of two elements u, w of R3 is another element of R3 determined by for all in R. (Problem 10 in the April 11 homework gives essentially this definition) The problem here is to relate this definition to another one that's common 2 Interpret the factor lw'll sin(0) as the length of the component of w perpendicular to v. Draw a picture to illust rate why llu = h = llu.11-1 sin(θ)|

Answer 1

Date Page A0 Q. ample behaam VAA and 7 3.14-1