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) $\mathbf { z } = ( 1,1,0 )$

Question

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) $\mathbf { z } = ( 1,1,0 )$

Quizplus · Accepted Answer

To find $\mathbf{z}$, we add $\mathbf{u}$ and $\mathbf{v}$ and then solve for $\mathbf{z}$ in the equation $\mathbf{u} + \mathbf{v} + \mathbf{z} = 0$. Adding $\mathbf{u} = (-1,3,4)$ and $\mathbf{v} = (1,-4,-4)$ gives us $(0,-1,0)$. Therefore, $\mathbf{z} = -(\mathbf{u} + \mathbf{v}) = (0,1,0)$.

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

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