Find the vector z,given u = $( 9,4 , - 1 )$ and v = $( 7 , - 2 , - 2 )$ ,and w = $( 35 , - 45 , - 23 )$ . -2u + 5v + 3z = w
A) $( - 9 , - 5,6 )$
B) $( 6,6,6 )$
C) $( 6,9 , - 5 )$
D) $( - 6 , - 9 , - 5 )$
E) $( 6 , - 9 , - 5 )$

Question

Quizplus · Accepted Answer

To find z, we first calculate -2u + 5v = -2(9, 4, -1) + 5(7, -2, -2). This equals (-18, -8, 2) + (35, -10, -10) = (17, -18, -8). Then, w - (-2u + 5v) = (35, -45, -23) - (17, -18, -8) = (18, -27, -15). Finally, since 3z = (18, -27, -15), dividing by 3 gives z = (6, -9, -5).

Find the Vector Z,given U = (9,4,−1)( 9,4 , - 1 )(9,4,−1)

Find the Vector Z,given U = $( 9,4 , - 1 )$