Step-by-step explanation:
Given,
a(5,-4,0) +b(2,2,-3) = (11,-16,-6)
⇔(5a,-4a,0) +(2b,2b,-3b)= (11,-16,-6)
⇔(5a+2b,-4a+2b,-3b)=(11,-16,-6)
Therefore
5a+2b = 11 ....(1) -4a+2b=-16.......(2) -3b=-6........(3)
From equation (3) we get
-3b = -6
⇔b =2
Putting the value of b in equation (2)
-4a + 2.2 = 16
⇔-4a = -16-4
⇔ a =5
Therefore a = 5 and b = 2
