Find the vector z,given $\mathbf { u } = ( - 1,3,3 ) , \mathbf { v } = ( 1 , - 3 , - 3 )$ . $\mathbf { z } = \mathbf { u } - 3 \mathbf { v }$
A) $\mathbf { z } = ( - 4,12,12 )$
B) $\mathbf { z } = ( 12 , - 4,12 )$
C) $\mathbf { z } = ( - 4,12 , - 4 )$
D) $\mathbf { z } = ( 12,12,12 )$
E) $\mathbf { z } = ( 12,12 , - 4 )$

Question

Find the vector z,given $\mathbf { u } = ( - 1,3,3 ) , \mathbf { v } = ( 1 , - 3 , - 3 )$ .  $\mathbf { z } = \mathbf { u } - 3 \mathbf { v }$ 
A) $\mathbf { z } = ( - 4,12,12 )$
B) $\mathbf { z } = ( 12 , - 4,12 )$
C) $\mathbf { z } = ( - 4,12 , - 4 )$
D) $\mathbf { z } = ( 12,12,12 )$
E) $\mathbf { z } = ( 12,12 , - 4 )$

Quizplus · Accepted Answer

To find $\mathbf{z} = \mathbf{u} - 3\mathbf{v}$, we calculate $(-1,3,3) - 3(1,-3,-3)$. This gives us $(-1,3,3) - (3,-9,-9) = (-1-3, 3+9, 3+9) = (-4,12,12)$.

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

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