Parallel Vectors and Dot Product Calculations

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SUMMARY

The discussion focuses on calculating the dot product of vectors using parallel vectors and unit vectors. The user initially miscalculated the dot product of vector u and vector x, mistakenly using incorrect values. The correct approach involves multiplying the components of the unit vector u by the respective values before performing the dot product calculation. The user successfully resolved the issue by referencing a subsequent example, highlighting the importance of proper vector manipulation in calculations.

PREREQUISITES
  • Understanding of vector mathematics, specifically dot products.
  • Familiarity with unit vectors and their calculations.
  • Basic knowledge of parallel vectors and their properties.
  • Ability to perform arithmetic operations with vectors.
NEXT STEPS
  • Study the properties of unit vectors in vector mathematics.
  • Learn how to calculate dot products of multiple vectors accurately.
  • Explore examples of parallel vectors and their applications in physics.
  • Practice vector manipulation techniques to enhance problem-solving skills.
USEFUL FOR

Students studying linear algebra, educators teaching vector mathematics, and anyone looking to improve their understanding of vector calculations and dot products.

g.lemaitre
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Homework Statement



Screenshot2012-07-14at23706AM.png


Homework Equations




The Attempt at a Solution



I can't get the answer above. Is u -4 over 15? if so, the dot product of u and x should be
-20 + 105. I'm clearly on the wrong track.
 
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If you're going to do it that way, notice that the 1/5 term in the unit vector u should be multiplied by both -4 and 3 before it is dotted with x.
 
Thanks, I was able to figure it out by looking at the next example.
 

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