Question

Two points in a rectangular coordinate system have the coordinates (5.0, 2.7) and (−3.1, 5.5), where the units are centimeters. Determine the distance between these points.

Answer 1

V2 = 5.0 i + 2.7 j

V1 = -3.1 i + 5.5 j vector description of points in question

Or (X2 - X1) = 5.0 - (-3.1) = 8.1 distance between x-coordinates

(Y2 - Y1) = 2.7 - 5.5 = -2.8 distance between y-coordinates

S = [(X2 - X1)^2 + (Y2 - Y1)^2]^1/2

S =[(8.1^2 + (-2.8)^2)]^1/2 = (8.1^2 + 2.8^2)^1/2

S = 73.45^1/2 = 8.57