Question

If u = <-7, 6> and v = <-4, 17>, which vector can be added to u + 3v to get the unit vector <1, 0> as the resultant vector?

Answer 1

id start by adding u + 3v to see waht we have to work with

Answer 2

u = <-7 , 6 >
+3v = <-4(3), 17(3)>
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so,

-7-4(3)+a = 1
and
6+17(3)+b=0

solve for a and b