Cross product and the angles of a prallelogram

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Homework Help Overview

The discussion revolves around the properties of a parallelogram, specifically focusing on the relationship between the cross product of vectors representing its sides and the angles formed by its diameters.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of the cross product in relation to the angles between the sides of a parallelogram and question the definitions of the vectors involved.

Discussion Status

Some participants have raised questions about the correct identification of vectors A and B, suggesting a need for clarification on whether they represent the sides or diameters of the parallelogram. There is an ongoing exploration of how the cross product relates to the area and angles of the shape.

Contextual Notes

There appears to be some confusion regarding the terminology used, particularly the distinction between diameters and sides, which may affect the understanding of the problem statement.

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Cross product and the angles of a prallelogram's diameters

Homework Statement



With the help of cross product prove: if the angle between the diameters of a parallelogram is 90 degrees, then the parallelogram is a rectangular.

Homework Equations



A[tex]\times[/tex]B=(surface of the parallelogram)


The Attempt at a Solution

 
Last edited:
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What is [tex]|\mathbf{A} \times \mathbf{B}|[/tex]? How does it depend on the angle between the two vectors?
 
A and B are not the diameters, they are the sides. As I mensioned [tex]|\mathbf{A} \times \mathbf{B}|[/tex]= (the surface of the parallelogram)
 
what are the diameters? the diagonals? if so you should be able to write them as a vector sum of the sides...
 

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