Imagine a negative test charge sitting at the coordinate origin (0,0). Two bunches of positive charges are located on the x-axis and the y-axis, respectively, so that the vectors of the respective electric forces, which the test charge experiences, point from the origin at points (1,0) and (0,1), respectively. The total force vector, which the test charge experiences, points from the origin at the point

the total force vector, on test charge is points from origin to point C( 1, 1 )

Explanation:

Given the data in the question, as illustrated in the image below;

from the Image, OA = 1, OB = AC = 1

so using Pythagoras theorem

a² = b² + c²

a = √( b² + c² )

so

OC = √( OB² + AC² )

we substitute

OC = √( OA² + AC² )

OC = √( 1² + 1² )

OC = √( 1 + 1 )

OC = √2

Coordinate of C( 1, 1 )

Hence, the total force vector, on test charge is points from origin to point C( 1, 1 )