Answer
$-20i+13j.$
Work Step by Step
We know that for two vectors $k=a+bi$ and $l=c+di$, $k+l=((a+c)+(b+d)i$. Also, if $m$ is a constant $m\cdot k=m(a+bi)=ma+mbi.$
Hence here: $4v-3w=4(-2i+j)-3(4i-3j)=-8i+4j-12i+9j=-20i+13j.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 9 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 635: 32
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