Vectors in the Plane

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6.3

• Vectors in the Plane

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Quick Review

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Quick Review Solutions

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What youll learn about

• How to represent vectors as directed line
  segments
• How to perform basic Vector Operations
• How to write vectors as linear combinations of
  Unit Vectors
• How to find the Direction Angles of vectors
• How to use vectors to model and solve real-life
  problems
• and why
• These topics are important in many real-world
  applications, such as calculating the effect of
  the wind on an airplanes path.

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Directed Line Segment
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Two-Dimensional Vector

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Initial Point(R), Terminal Point(S), Equivalent(P)
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Magnitude

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Example Finding Magnitude of a Vector

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Example Finding Magnitude of a Vector

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Vector Addition and Scalar Multiplication

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Example Performing Vector Operations

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Example Performing Vector Operations

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Unit Vectors

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Example Finding a Unit Vector

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Example Finding a Unit Vector

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Standard Unit Vectors

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Resolving the Vector

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Example Finding the Components of a Vector

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Example Finding the Components of a Vector

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Example Finding the Direction Angle of a Vector

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Example Finding the Direction Angle of a Vector

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Velocity and Speed

• The velocity of a moving object is a vector
• because velocity has both magnitude and
• direction. The magnitude of velocity is speed.

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