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Geometric Vectors

Geometric Vectors. Geometric Vectors. Objectives. Key Words. Magnitude The length of a line segment denoted by Initial point The starting position of a vector Standard Position A vector is in standard position if its initial point is at the origin Direction of the vector

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Geometric Vectors

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  1. Geometric Vectors

  2. Geometric Vectors Objectives Key Words Magnitude The length of a line segment denoted by Initial point The starting position of a vector Standard Position A vector is in standard position if its initial point is at the origin Direction of the vector This is the directed angle between the positive x-axis and the vector Terminal Point Where the vector ends its path. Zero Vector The initial point and terminal point are at the same position. Vectors are Equal When they have the same direction and the same magnitude • Find equal, opposite, and parallel vectors • Add and subtract vectors geometrically

  3. Checking Understanding Find the magnitude Find the vectors direction

  4. Checking Understanding Which pair of vectors have the same magnitude? Which pair of vectors have the same direction?

  5. Resultant The sum of two or more vectors is called the resultant. The resultant can be found using either strategy Parallelogram Triangle method

  6. Opposites Two vectors are opposites if they have the same magnitude and opposite directions Algebraically the sum of opposite vectors is zero. (Use the strategies to find the sum to verify. The opposite of is denoted Which are opposites?

  7. Scalar Quantity A quantity with only magnitude is called a scalar quantity. Examples include mass, length, time, and temperature. The numbers used to measure scalar quantities are called scalars. For example:

  8. Types of Vectors Parallel Vectors Components Two or more vectors whose sum is a given vector are called components of the given vector. Components can have any direction. • Two or more vectors are parallel if and only if they have the same or opposite directions.

  9. Conclusions Summary Assignment 8.1 Geometric Vectors Pg 491 #(14-18,21,23,25,29, 31-35,38,39)

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