Question

Let u = <6, -9>, v = <1, -4>. Find u - v.

A) <5, -5>
B) <10, -10>
C) <15, 5>
D) <7, -13>

Answer 1

To subtract vectors, subtract the x coordinates together. Do the same for the y coordinates as well.

In terms of a formula if we had the vectors u and v such that
u = <a,b>
v = <c,d>
then
u - v = <a-c, b-d>

Let's use that to get...
u - v = <6,-9> - <1,-4>
u - v = <6-1,-9-(-4)>
u - v = <6-1,-9+4>
u - v = <5,-5>
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Answer: A) <5,-5>