Vectors - dot product and cross product?

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SUMMARY

The discussion clarifies the differences between the dot product and cross product of vectors. The dot product results in a scalar value, representing the magnitude and sign, while the cross product yields a vector that is perpendicular to the plane formed by the two original vectors. Understanding these distinctions is crucial for applying vector operations correctly in various mathematical and physical contexts.

PREREQUISITES
  • Basic understanding of vector mathematics
  • Familiarity with scalar and vector quantities
  • Knowledge of Euclidean geometry
  • Ability to interpret mathematical formulas
NEXT STEPS
  • Study the mathematical properties of the dot product in vector analysis
  • Explore the geometric interpretation of the cross product
  • Learn applications of dot and cross products in physics, particularly in mechanics
  • Review vector operations in programming languages such as Python with NumPy
USEFUL FOR

Students of mathematics, physics enthusiasts, and professionals in engineering or computer science who require a solid understanding of vector operations.

onceinalifetim
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Vectors -- dot product and cross product?

Hello

may i know when to dot product and cross product?? both look to same to me..
 
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The formula will tell you which to use, so pay close attention.

Basically, the dot product produces a scalar result---it has a magnitude and a + or - sign---but it isn't a vector. The cross product produces an answer which is itself a vector, and it's at right-angles to the plane containing the two vectors you multiplied.
 
onceinalifetim said:
Hello

may i know when to dot product and cross product?? both look to same to me..

Dot products, cross products, and other basic vector operations are described here:

http://en.wikipedia.org/wiki/Euclidean_vector

.
 

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