Vertical Dist. Origin to (8,1): 8 units

  • Context: MHB 
  • Thread starter Thread starter flolisa
  • Start date Start date
  • Tags Tags
    Vertical
Click For Summary
SUMMARY

The vertical distance from the origin (0,0) to the point (8,1) in a two-dimensional Cartesian coordinate system is definitively calculated as 1 unit. This distance is determined by the absolute difference in the y-coordinates, represented mathematically as $|\Delta y|$. The discussion clarifies that "vertical" in this context refers specifically to the y-axis, establishing a clear definition for vertical distance in a two-dimensional framework.

PREREQUISITES
  • Understanding of Cartesian coordinate systems
  • Basic knowledge of absolute value calculations
  • Familiarity with the concept of distance between points
  • Awareness of dimensional definitions in geometry
NEXT STEPS
  • Explore the concept of distance in three-dimensional space
  • Learn about coordinate transformations and their implications
  • Study the properties of absolute value in mathematical contexts
  • Investigate the definitions of vertical and horizontal distances in various coordinate systems
USEFUL FOR

Students, educators, and anyone interested in geometry, particularly those studying coordinate systems and distance calculations in mathematics.

flolisa
Messages
1
Reaction score
0
what is the vertical distance from the origin to the point (8,1)
 
Mathematics news on Phys.org
vertical distance between two points = $|\Delta y|$
 
flolisa said:
what is the vertical distance from the origin to the point (8,1)
How are you DEFINING "vertical" in two dimensions? "Vertical" is a three dimensional notion depending on the direction of gravity. It might make sense to define "vertical", in a two dimensional sense, in the direction of the y-axis in an xy-coordinate system (but that is, of course, completely arbitrary). Here, since you specified both the origin and the point (8, 1) we are given a coordinate system and can say that the "vertical distance" is 1.
 

Similar threads

High School How Do You Calculate the Area of a Quadrilateral Using Vertices?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the name of the triangle centre point with 120° subtended vertices?
  • · Replies 2 ·
Replies
2
Views
1K
MHB How Do I Find the Area of a Triangle with Non-Intersecting Vertices?
  • · Replies 3 ·
Replies
3
Views
2K
High School Cartesian Space vs. Euclidean Space
  • · Replies 10 ·
Replies
10
Views
2K
MHB Consecutive vertical and horizontal transformations of a function
  • · Replies 2 ·
Replies
2
Views
2K
MHB How to Calculate the Radius of a Circle Tangent to Two Lines?
  • · Replies 4 ·
Replies
4
Views
4K
High School Finding all possible sums given 2 lists, matched one to one
  • · Replies 2 ·
Replies
2
Views
2K
MHB Are the coordinates of the vertices of this triangle all integers?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Mechanics- connected particles
  • · Replies 4 ·
Replies
4
Views
1K
MHB Prove the minimum is greater than or equal to 8
  • · Replies 2 ·
Replies
2
Views
2K