Answer:
see explanation
Step-by-step explanation:
A column vector has the form [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]
Following the direction of the arrow , the x- displacement = - 3 and y- displacement = 2 , then column vector is
[tex]\left[\begin{array}{ccc}-3\\2\\\end{array}\right][/tex]
h + k
= [tex]\left[\begin{array}{ccc}4\\-3\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}-2\\-1\\\end{array}\right][/tex] ← add corresponding elements from each vector
= [tex]\left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}2\\-4\\\end{array}\right][/tex]
