Vectors

Mustafa Kuzu, Apr 20, 2021

Table of Contents

  1. Vectors
    1. Vectors: Introduction (1)
    2. Vector Addition
    3. Vectors: Magnitude & Direction (I)
    4. vectors and unit vectors
    5. Cross Product: Introduction
    6. Dot Product Insight
    7. Dot Product: Basic Synthesis Questions
    8. Angle between 3d Vectors Using Dot Product
    9. Cross Product: Introduction
    10. Adding Vectors Geometrically
    11. Vectors: Addition & Subtraction #2
    12. Scaling Vectors
  2. Vectors Application
    1. Distance from a point to a line

1.

Vectors

  • 1. Vectors: Introduction (1)
  • 2. Vector Addition
  • 3. Vectors: Magnitude & Direction (I)
  • 4. vectors and unit vectors
  • 5. Cross Product: Introduction
  • 6. Dot Product Insight
  • 7. Dot Product: Basic Synthesis Questions
  • 8. Angle between 3d Vectors Using Dot Product
  • 9. Cross Product: Introduction
  • 10. Adding Vectors Geometrically
  • 11. Vectors: Addition & Subtraction #2
  • 12. Scaling Vectors

1.1.

Vectors: Introduction (1)

Recall a [b]VECTOR[/b] is a quantity with [b]both MAGNITUDE and DIRECTION. [/b][br][br]The applet below illustrates how we GEOMETRICALLY represent a vector.[br][br]Interact with this applet for a few minutes. [br]Then, complete the investigation questions you received at the beginning of class.
– Tim Brzezinski

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2.

Vectors Application

  • 1. Distance from a point to a line

2.1.

Distance from a point to a line

Change the equation of the line and the location of the point P by dragging the points.
The distance from the point P is defined to be the perpendicular distance.
– Adam Antonio

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