Question

Sejam v=(-5,-3-4), u=(3,-2,7) e w=(4,3,9) encontre os componentes de :
A) 5V-3u
B)-3v+2w-u

Answer 1

Olá


v = (-5,-3-4)
u = (3,-2,7)
w = (4,3,9)


A)

5v - 3u

v = (-5,-3-4)
5v = 5*(-5,-3-4)
5v = (-25, -15, -20)


u = (3,-2,7)
3u = 3*(3,-2,7)
3u = (9,-6,21)

5v-3u = (-25, -15, -20) - (9,-6,21)
5v-3u  = (-25 - 9, -15-(-6), -20-21)


5v-3u  = (-34, -9, -41)       ←    Resposta final





B)

-3v+2w-u


v = (-5,-3-4)
-3v = -3*(-5, -3, -4)
-3v = (15, 9, 12)


w = (4, 3, 9) 
2w = 2*(4, 3, 9)
2w = (8, 6, 18)


u = (3,-2,7)


-3v+2w-u = (15, 9, 12) + (8, 6, 18) - (3,-2,7)
-3v+2w-u = (15 + 8 -3, 9 + 6 -(-2), 12 + 18 - 7)


-3v+2w-u = (20, 17, 23)           ←       Resposta Final









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