Answer
$4i-8j$
Work Step by Step
We are given the vector $v=(4,-8)$.
We have:
$(4,-8)=c_1i+c_2j$
$(4,-8)=c_1(1,0)+c_2(0,1)$
$(4,-8)=(c_1,0)+(0,c_2)$
$(4,-8)=(c_1,c_2)$
$c_1=4$
$c_2=-8$.
The vector can be written:
$(4,-8)=4(1,0)-8<0,1)=4i-8j$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 11 - Vectors and Vector-Valued Functions - 11.1 Vectors in the Plane - 11.1 Exercises - Page 769: 67
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