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Precalculus
8-1 Geometric Vectors

   •   A vector is a quantity that has both _______________________ and
       __________________________.
   •   A vector is represented geometrically by a _____________________________
       _________________________________.

Magnitude: ____________________________________________________________
Initial: ________________________________________________________________
Terminal: ______________________________________________________________

   •   If a vector has its initial point at the ____________________, it is in
       ________________________ position.

   •   The direction of the vector is the ___________________ between the
       _____________________________ and the vector.

   •   If both the initial point and the terminal point are at the origin, the vector is the
       _______________________________.

   •   Two vectors are ___________________ ⇔ they have the same
       _______________________ and _________________________.

Resultant: _______________________________________________________________
   • Components: ______________________________________________________
       example




Opposites: ______________________________________________________________
Scalar: _________________________________________________________________
   • Multiplying a scalar and a vector changes the __________________ of the vector.
        example
p. 491

14.




15.




16.




17.




HW p. 491 (14 – 17 all, 18 – 30 even, 31 – 34 all)

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Pc8-1 Vectors (part 1) notes

  • 1. Precalculus 8-1 Geometric Vectors • A vector is a quantity that has both _______________________ and __________________________. • A vector is represented geometrically by a _____________________________ _________________________________. Magnitude: ____________________________________________________________ Initial: ________________________________________________________________ Terminal: ______________________________________________________________ • If a vector has its initial point at the ____________________, it is in ________________________ position. • The direction of the vector is the ___________________ between the _____________________________ and the vector. • If both the initial point and the terminal point are at the origin, the vector is the _______________________________. • Two vectors are ___________________ ⇔ they have the same _______________________ and _________________________. Resultant: _______________________________________________________________ • Components: ______________________________________________________ example Opposites: ______________________________________________________________ Scalar: _________________________________________________________________ • Multiplying a scalar and a vector changes the __________________ of the vector. example
  • 2. p. 491 14. 15. 16. 17. HW p. 491 (14 – 17 all, 18 – 30 even, 31 – 34 all)