Geometric Vectors Precalculus 8-1 p. 485
Vectors <ul><li>A vector is a quantity that has both  magnitude  and  direction . </li></ul>
Vectors <ul><li>A vector is a quantity that has both  magnitude  and  direction . </li></ul><ul><li>A vector is represente...
Vectors <ul><li>Magnitude:  Length  of the vector </li></ul><ul><ul><li>For vector  a , the magnitude is written | a | </l...
Vectors <ul><li>Two vectors are  equal     they have the same  direction  and  magnitude </li></ul>
Vectors <ul><li>Magnitude: Length of the vector </li></ul><ul><li>Initial:  Starting  point </li></ul>
Vectors <ul><li>Magnitude: Length of the vector </li></ul><ul><li>Initial: Starting point </li></ul><ul><li>Terminal:  End...
Vectors <ul><li>If a vector has its initial point at the  origin , it is in  standard  position. </li></ul>
Vectors <ul><li>If a vector has its initial point at the origin, it is in standard position. </li></ul><ul><li>The directi...
Vectors <ul><li>If both the initial point and the terminal point are at the origin, the vector is the  zero vector . </li>...
Vectors <ul><li>Resultant: The  sum  of 2 or more vectors. </li></ul><ul><ul><li>Components: The 2 (or more) original vect...
Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><li>Opposites: Two vectors with the  same  magnitud...
Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><li>Opposites: Two vectors with the same magnitude ...
Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><li>Opposites: Two vectors with the same magnitude ...
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Pc8-1 Vectors (part 1)

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Pc8-1 Vectors (part 1)

  1. 2. Geometric Vectors Precalculus 8-1 p. 485
  2. 3. Vectors <ul><li>A vector is a quantity that has both magnitude and direction . </li></ul>
  3. 4. Vectors <ul><li>A vector is a quantity that has both magnitude and direction . </li></ul><ul><li>A vector is represented geometrically by a directed line segment . </li></ul>
  4. 5. Vectors <ul><li>Magnitude: Length of the vector </li></ul><ul><ul><li>For vector a , the magnitude is written | a | </li></ul></ul>
  5. 6. Vectors <ul><li>Two vectors are equal  they have the same direction and magnitude </li></ul>
  6. 7. Vectors <ul><li>Magnitude: Length of the vector </li></ul><ul><li>Initial: Starting point </li></ul>
  7. 8. Vectors <ul><li>Magnitude: Length of the vector </li></ul><ul><li>Initial: Starting point </li></ul><ul><li>Terminal: Ending point </li></ul>
  8. 9. Vectors <ul><li>If a vector has its initial point at the origin , it is in standard position. </li></ul>
  9. 10. Vectors <ul><li>If a vector has its initial point at the origin, it is in standard position. </li></ul><ul><li>The direction of the vector is the angle between the positive x-axis and the vector. </li></ul>
  10. 11. Vectors <ul><li>If both the initial point and the terminal point are at the origin, the vector is the zero vector . </li></ul>
  11. 12. Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><ul><li>Components: The 2 (or more) original vectors. </li></ul></ul>
  12. 13. Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><li>Opposites: Two vectors with the same magnitude and opposite directions. </li></ul><ul><ul><li>Opposite of g is -g </li></ul></ul>
  13. 14. Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><li>Opposites: Two vectors with the same magnitude and opposite directions. </li></ul><ul><li>Scalar: A number with no direction (only magnitude). </li></ul><ul><ul><li>Multiplying a scalar and a vector changes the magnitude of the vector. </li></ul></ul>
  14. 15. Vectors <ul><li>Resultant: The sum of 2 or more vectors. </li></ul><ul><li>Opposites: Two vectors with the same magnitude and opposite directions. </li></ul><ul><li>Scalar: A number with no direction (only magnitude). </li></ul>

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