Length of Parallelogram Diagonals

  • Thread starter Thread starter Larrytsai
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on calculating the lengths of the diagonals of a parallelogram defined by the vectors u = <-2, -2> and v = <-10, -2>. The correct approach involves using vector addition and subtraction, where the main diagonal is represented by u + v and the other diagonal by u - v. The user initially overcomplicated the problem by attempting to use trigonometry instead of directly applying vector operations. This highlights the importance of understanding vector properties in geometry.

PREREQUISITES
  • Understanding of vector representation in two dimensions
  • Familiarity with vector addition and subtraction
  • Basic knowledge of parallelogram properties
  • Ability to calculate vector magnitudes
NEXT STEPS
  • Study vector operations in depth, focusing on addition and subtraction
  • Learn about the properties of parallelograms in geometry
  • Explore vector magnitude calculations and their applications
  • Investigate the use of vectors in physics and engineering contexts
USEFUL FOR

Students studying geometry, particularly those learning about vectors and parallelograms, as well as educators looking for clear examples of vector applications in geometric contexts.

Larrytsai
Messages
222
Reaction score
0

Homework Statement


Find the length of the two diagonals of a paralellogram with the sides (-2,-2) and (-10,-2)


Homework Equations





The Attempt at a Solution


What I have tried is, I drew out the 2 vectors, and then drew out their components and used trig to find the angles where the connect. I also found the magnitude of both the vectors.
Am i on the right track?
 
Physics news on Phys.org
Larrytsai said:

Homework Statement


Find the length of the two diagonals of a paralellogram with the sides (-2,-2) and (-10,-2)


Homework Equations





The Attempt at a Solution


What I have tried is, I drew out the 2 vectors, and then drew out their components and used trig to find the angles where the connect. I also found the magnitude of both the vectors.
Am i on the right track?
Not really. If u = <-2, -2> and v = <-2, -10> are your two vectors, a vector that represents the main diagonal of the parallelogram is u + v. The other diagonal is given by u - v.
 
OMG I totally missed that oh man I fail! Thanks so much, I over complicated it!
 

Similar threads

Replies
15
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
10
Views
2K
Replies
1
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
5
Views
2K