sendo u=(2,3,1) e v=(1,4,5) calcule

a)

\(u.v=[(2)(1),(3)(4),(1)(5)]=(2,12,5)\)

d) 

\((3u-2v)^2= [3(2,3,1) -2(1,4,5)]^2 = [(6,9,3) - (2,8,10)]^2= (6-2, 9-8, 3-10)^2= (4,1,-7)^2= (16, 1, 49)\)

e)

\((2u-3v).(u+2v)=[2(2,3,1)-3(1,4,5)].[(2,3,1)+2(1,4,5)]\)

\([(4,6,2)-(3,12,15)] . [(2,3,1)+(2,8,10)]\)

\((1-6,-13) . (4,11,11)\)

\((4,-66,-143)\)