Calculating the Cross Product Vector: Is It Possible to Find VxW?

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SUMMARY

The discussion centers on the feasibility of calculating the actual cross product vector (VxW) given the magnitudes of two vectors, the angle between them, and the plane they lie in. The formula for the magnitude of the cross product, Mag(VxW) = Mag(v) * Mag(w) * sin(theta), is acknowledged, but the participants seek a method to isolate the vector itself. The conversation highlights potential sign ambiguities that may arise depending on the interpretation of the known angle.

PREREQUISITES
  • Understanding of vector mathematics and operations
  • Familiarity with the concept of cross products in 3D space
  • Knowledge of trigonometric functions, specifically sine and angle measurement
  • Basic comprehension of vector representation in a plane
NEXT STEPS
  • Research methods for calculating cross products using vector components
  • Explore the implications of angle ambiguity in vector calculations
  • Study vector representation in different coordinate systems
  • Learn about the geometric interpretation of cross products in physics
USEFUL FOR

This discussion is beneficial for students and professionals in mathematics, physics, and engineering fields, particularly those focused on vector analysis and geometric interpretations of vector operations.

Christie
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Okay so, I am wondering if it is possible to find the actual cross product (not the magnitude of the cross product) from this information
1. magnitude of both vectors
2.angle between vectors
3.plane the vectors lie in
Is there any way to calculate that cross product vector?
Thank you very much.
I know that
Mag (VxW)= Mag(v)Mag(w)sinthea
but am wondering if there is anyway to actually isolate VxW from this information.
 
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It is the normal vector of the plane that has the appropriate magnitude.

Depending on what you mean by saying that the angle is known, there may or may not be a possible sign ambiguity.
 
What would b that ambiguity?
 

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