Find the Vector Z,given $\mathbf { u } = ( - 1,3,4 ) , \mathbf { v } = ( 1 , - 4 , - 4 )$

Multiple Choice

Find the vector z,given $\mathbf { u } = ( - 1,3,4 ) , \mathbf { v } = ( 1 , - 4 , - 4 )$ . $\mathbf { u } + \mathbf { v } + \mathbf { z } = 0$

A) $\mathbf { z } = ( 0,1,0 )$
B) $\mathbf { z } = ( 0,20,0 )$
C) $\mathbf { z } = ( 1,1,1 )$
D) $\mathbf { z } = ( 0,0,20 )$
E) $\mathbf { z } = ( 1,1,0 )$