Using rotation rules, it is found that the resulting vector is:
v = <1, 4>
When a vector in component form <x,y> is rotated by 270 degrees, the rule is:
<x, y> -> <y, -x>
That is, x and y are switched, and the signal of x changes.
In this problem, the vector is v <-4, 1>, hence:
<-4, 1> -> <1, -(-4)> -> <1,4>
Hence, <1,4> is the resulting vector.
A similar problem is given at https://brainly.com/question/12673036