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QuickNotes™  

Vector Addition

  • Vectors are added by placing the tail of one vector on the head of the preceding vector; the sum of the vectors is obtained by joining the first tail to the last head.
  • The analytical method of adding vectors makes use of the laws of cosines and sines.
  • A vector is completely specified by giving its magnitude or direction, or by giving its components in a coordinate system.
  • Vectors may be added by adding the respective components.
  • Two vectors are equal if their respective components are equal.
  • The dot product of two vectors is a scalar; it is equal to the product of the magnitudes of the vectors and cosine the angle between them.
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