Consider the vectors $a=(1,2,3),b=(4,5,6)$ and $c=(7,8,10).$ Calculate all the possible scalar and vector products, e$.$g$.,a*b,b*c,ab,$ and so on$.($You can avoid computing the products that are trivially related to results you already have. For those, you can simply cite the relevant property, for example, the commutative property, etc.$).$