The differences between vectors and scalars we can draw the routes, where the total distance of the route is 70 miles, but the displacement is 20 miles
The distance is the path between two points, it is a scalar quantity that can be found with the Pritagoras Theorem
c = [tex]\sqrt{x^2 +y^2}[/tex]
Where c is the distance total, x and y are the perpendicular distance, measured on the path
The displacement is a vector magnitude that indicates the path between two points, this magnitude has a modulus and direction, so its addition must be done with vector algebra.
c = x + y
The bold indicate vectors
In this exercise we can see in the attachment a road full of crow, the average distance on the road is 70 miles and the displacement between the two extreme points is 20 miles
Using the differences between vectors and scalars we can draw the path, where the total distance of the path is 70 miles, but the displacement is 20 miles.
Learn more about scalars and vectors here:
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