Sunday, November 13, 2011

What are the solution methods for solving vector equations?

Suppose you have the following cross product,





A x B = C where A and C are known vectors and B is the unknown one.





How do you 'solve for B' given that vector division is not defined?|||The three components of the cross product are calculated as follows:





C_x = (A_y*B_z) - (A_z*B_y)


C_y = (A_z*B_x) - (A_x*B_z)


C_z = (A_x*B_y) - (A_y*B_x)





you can solve these three equations for all three components of B. For example, use the first equation to write B_z in terms of B_y, then solve the second and third equations for B_x and B_y.

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