Question

Given the vectors u = <5,-1> and v = <1,12>, find -7u-3v. *

Answer 1

You multiply vectors and scalar simply by multiplying each component by that scalar:

$-7u = \langle-35,7\rangle,\quad -3v=\langle -3,-36\rangle$

Finally, you sum two vectors by summing the correspondent coordinates:

$-7u-3v = \langle-35,7\rangle+\langle -3,-36\rangle = \langle-38,-29\rangle$