Vectors forming a parallelogram

Click For Summary
SUMMARY

The discussion centers on the geometric properties of vectors forming a parallelogram, specifically vectors measuring 39.0 cm at 15.0° and 23.0 cm at 68.0°. The area of the parallelogram is calculated to be 716 cm². Additionally, the question regarding the length of the longer diagonal is clarified, noting that both diagonals of a parallelogram are equal, thus making the inquiry about the "longer diagonal" potentially misleading.

PREREQUISITES
  • Understanding of vector representation and operations
  • Knowledge of geometric properties of parallelograms
  • Familiarity with trigonometric functions for angle calculations
  • Ability to calculate area using vector cross products
NEXT STEPS
  • Study vector addition and subtraction in two dimensions
  • Learn how to calculate the area of a parallelogram using the cross product
  • Explore the properties of diagonals in quadrilaterals, specifically parallelograms
  • Investigate the application of vectors in physics and engineering contexts
USEFUL FOR

Students of geometry, physics enthusiasts, and anyone involved in vector analysis or geometric problem-solving will benefit from this discussion.

shiri
Messages
85
Reaction score
0
The vectors 39.0 cm at 15.0° and 23.0 cm at 68.0° both start from the origin. Both angles are measured counterclockwise from the x axis. The vectors form two sides of a parallelogram.

a) Find the area of the parallelogram.
716cm^2

b) Find the length of its longer diagonal.

For b) is this question looking for the unknown length?

**update**
I found the answer
 
Last edited:
Physics news on Phys.org
The wording you posted is odd since both diagonals of a parallelogram are equal. ARe you sure you copied the problem correctly?
 

Similar threads

Vector addition and the force applied to the shaft of the pulley
  • · Replies 4 ·
Replies
4
Views
3K
Torque on a Circular Current Loop under a Misaligned Magnetic Field
  • · Replies 1 ·
Replies
1
Views
1K
Find the resultant of these two force vectors using the following methods.
  • · Replies 3 ·
Replies
3
Views
4K
Finding coordinates given 3-dimensional vectors
  • · Replies 4 ·
Replies
4
Views
3K
Finding the magnitude/direction of a resultant vector?
  • · Replies 4 ·
Replies
4
Views
14K
How Is the Second Leg of the Triangle Calculated in Vector Problem?
  • · Replies 2 ·
Replies
2
Views
2K
Finding angles of a parallelogram.
  • · Replies 5 ·
Replies
5
Views
4K
Finding the Displacement Vector from 3 Given Vectors
  • · Replies 2 ·
Replies
2
Views
6K
Calculating Vector Components with given Magnitude and Direction
  • · Replies 11 ·
Replies
11
Views
2K
Component vector method for resultant force
  • · Replies 2 ·
Replies
2
Views
7K