Finding the Cosine of the Angle Between Diagonals in a Parallelogram

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SUMMARY

The discussion focuses on calculating the cosine of the angle Phi between the diagonals of a parallelogram with sides of lengths a and b, and an included angle alpha. Participants emphasize the importance of demonstrating prior attempts at solving the problem to receive effective assistance. The conversation highlights the need for a structured approach to problem-solving in linear algebra, particularly in the context of homework help.

PREREQUISITES
  • Understanding of linear algebra concepts, specifically parallelograms.
  • Familiarity with the cosine rule and vector operations.
  • Basic knowledge of trigonometric functions and their applications.
  • Ability to express mathematical problems in algebraic form.
NEXT STEPS
  • Research the cosine rule in the context of vector mathematics.
  • Learn how to derive the formulas for the diagonals of a parallelogram.
  • Explore methods for solving linear algebra problems step-by-step.
  • Study the properties of parallelograms and their geometric implications.
USEFUL FOR

Students studying linear algebra, educators teaching geometry, and anyone seeking to understand the mathematical properties of parallelograms and their diagonals.

Final777
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Hey everyone, I'm pretty new here but a friend referenced this place and I thought I'd ask here. Some simple Linear algebra homework but I can't seem to get my head around this one.

Find the cosine of the angle Phi between the diagonals of a parallelogram whose sides are equal to a and b, if the angle between them is alpha.

I'm aware the helpers here would rather I showed some work on my part prior to asking for help, but I'm rather stumped on this, so any hints/help would be quite welcome. =|
 
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Hi Final777, and welcome to Physics Forums!

This is not actually how things go around here, especially in the homework forums. You first must show us what you have tried so far, for only then the people here will try to help you!
 
To say you are stumped, you must have tried something so show us what you tried. One difficulty with not showing any work is that there are often several different ways of doling a problem and we cannot tell what method would be appropriate for you without seeing what you do know.
 

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