6.36.3 Vectors in the Plane. Quick Review Quick Review Solutions.

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Presentation transcript:

Vectors in the Plane

Quick Review

Quick Review Solutions

What you’ll 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 airplane’s path.

Directed Line Segment

Two-Dimensional Vector

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

Magnitude

Example Finding Magnitude of a Vector

Vector Addition and Scalar Multiplication

Example Performing Vector Operations

Unit Vectors

Example Finding a Unit Vector

Standard Unit Vectors

Resolving the Vector

Example Finding the Components of a Vector

Example Finding the Direction Angle of a Vector

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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