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MIT 8.02 Electricity and Magnetism, Spring 2002
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can someone help me with Vector Algebra????
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yes, what's the question?
to start with a definition : a vector (a,b,c ...) is any abstract object whic is in a set where there are two operations : sum and product with a number(n,m,l...). you can add two vectors and multiply a vector with a number . These two operations have the propoerties as follow : 1) associative (sum ) (a + b ) +c = a+b+c 2)commutative (sum) a+b= b+a 3) the zero as a vector exists (sum) a + 0 = a 4) the opposite of a vector exists (sum) a + (-a) = 0 1) commutative (product) a * m = m* a 2) distributive (m+n) * a = m*a + n*a 3) the number zero " kills" every vector : a*0 = 0
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