Components and Vectors and Lengths, Oh My

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SUMMARY

The discussion focuses on calculating the components and length of a resultant vector derived from two given vectors, V1 and V2, with components (3.4, 1.0, 15.0) and (5.1, -4.6, -1.0) respectively. The correct components of the resultant vector are (8.5, -3.6, 14). The length of the vector is calculated using the formula √((Vx)² + (Vy)² + (Vz)²), which results in a length of approximately 14.76. The participant expresses confusion regarding the calculation process, particularly in squaring negative values.

PREREQUISITES
  • Understanding of vector addition and components
  • Familiarity with the Pythagorean theorem in three dimensions
  • Basic knowledge of vector notation and operations
  • Experience with mathematical programming or calculators for vector calculations
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  • Study vector addition and its geometric interpretation
  • Learn about calculating the magnitude of vectors in three-dimensional space
  • Explore programming libraries for vector mathematics, such as NumPy for Python
  • Review common pitfalls in vector calculations, particularly with negative components
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Homework Statement



The components of a vector V are often written (Vx, Vy, Vz). What are the components and length of a vector which is the sum of the two vectors, V1 and V2, whose components are (3.4, 1.0, 15.0) and (5.1, -4.6, -1.0)?



Homework Equations



(Vx)=8.5
(Vy)=-3.6
(Vz)=14


The Attempt at a Solution


To my understanding it should be (Vx)² + (Vy)² + (Vz)² = √Length

But my Program say nay to such an answer...Is there somthing I missed?
 
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Ugh I fail, a Negative Being Squared is Positive... Void all that, I suck. : (
 

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