Answer:
u=(14/3 ,-13,23/3)
Step-by-step explanation:
Given
u=3v-2/3 w+2z
And
v=(4,-3,5)
w=(2,6,-1)
z=(3,0,4)
Putting the values of v,w and z
u=3(4,-3,5)-2/3 (2,6,-1)+2(3,0,4)
u=(12,-9,15)-(4/3,12/3,-2/3)+(6,0,8)
=(12,-9,15)-(4/3,4,-2/3)+(6,0,8)
We will perform the addition first..
=(12,-9,15)-(4/3+6 ,4+0,-2/3+8)
= (12,-9,15)-(22/3,4,22/3)
Subtraction will give us:
=(12-22/3 ,-9-4 ,15-22/3)
=(14/3 ,-13,23/3)
