Question

points A {at(2,3)m} and B {at(5,7)m} are in a region where the electric field is uniform and given by vector E=(4i+3j) N/C. What is the potential difference Va-Vb in volts?

a. 23
b. 27
c. 30
d. 24
e. 11

i think the formula may be ds=dxi+dyi but even with that im not sure how to work the problem

Answer 1

Take the dot product of the E vector (4i + 3j) and the displacement vector (between A and B), which is (3i + 4j).
The dot product in this case is
3*4 + 4*3 = ?

Answer 2

24