Question

A displacement vector begins at the point (2,3) on a Cartesian plane and ends at (5, 7). Calculate the length of this vector

Answer 1

The length is d = 5

Step-by-step explanation:

We must identify the respective coordinates of both points.

(x1,y1) = (2,3)

(x2,y2) = (5,7)

Now we know the distance equation of a straight line:

`d=\sqrt{(x_(2) -x_(1) )^(2) +(y_(2) -y_(1) )^(2) } \\d=\sqrt{(5-2)^(2) +(7-3)^(2) }\\ d=√(9+16) \\d=5`