Vector with magnitude A and direction B

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SUMMARY

The discussion centers on the process of creating a new vector that retains the magnitude of vector A while adopting the direction of vector B. The correct method involves first converting vector B into a unit vector by dividing it by its length. Subsequently, this unit vector is multiplied by the magnitude of vector A to obtain the desired vector.

PREREQUISITES
  • Understanding of vector representation and notation
  • Knowledge of vector magnitude and direction
  • Familiarity with unit vectors and their properties
  • Basic skills in vector arithmetic
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  • Study the concept of unit vectors in detail
  • Learn about vector projections and their applications
  • Explore vector addition and subtraction techniques
  • Investigate the geometric interpretation of vectors in physics
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Students in physics or mathematics, educators teaching vector concepts, and anyone interested in applied vector analysis.

5t34lth
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Let's say you are given two vectors, A and B.
How would you find a new vector with the same magnitude as A and the same direction as B. I don't understand this concept. I tried approaching it using vector projections but it didn't feel right.

Cheers
 
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Divide B by its length to make it a unit vector. Then multiply it by the length of A.
 

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