Find the work done by the constant force 4i-2j if the point of application moves along the line seqment from P

Question

{1,1} to Q{5,7}
possible answers are the following:
a. 4
b. 6
c. 8
d. 10

Answer 1

Work = Force dot X
Force = 4i-2j
X = 4i+6j
Force dot X = 4*4+(-2)*6 = 16-12 = 4

Ans = a. 4

Answer 2

vector PQ = ( 4 ---- 6)
Force vector = (4 --- - 2)
Work done is given by dot product:-
= 16 - 12
= 4
ANSWER a.