Solve the problem.
-If $v = 3 i - 5 j$ and $w = - 7 i + 4 j$, find $3 v - 4 w$.
A) $- 4 \mathbf { i } - \mathbf { j }$
B) $- 19 i + j$
C) $17 \mathbf { i } - 10 \mathbf { j }$
D) $37 \mathbf { i } - 31 \mathbf { j }$

Question

Quizplus · Accepted Answer

First, calculate $3v = 3(3i - 5j) = 9i - 15j$ and $4w = 4(-7i + 4j) = -28i + 16j$. Then, $3v - 4w = (9i - 15j) - (-28i + 16j) = 9i - 15j + 28i - 16j = 37i - 31j$.

Solve the Problem v=3i−5jv = 3 i - 5 jv=3i−5j And w=−7i+4jw = - 7 i + 4 jw=−7i+4j

Solve the Problem $v = 3 i - 5 j$ And $w = - 7 i + 4 j$