LG 4-3 Vectors Today: Notes Tomorrow: Practice Operations (I will not be here!) Friday: Practice...
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Transcript of LG 4-3 Vectors Today: Notes Tomorrow: Practice Operations (I will not be here!) Friday: Practice...
![Page 1: LG 4-3 Vectors Today: Notes Tomorrow: Practice Operations (I will not be here!) Friday: Practice Monday: Review and Test.](https://reader036.fdocuments.us/reader036/viewer/2022070307/551b8584550346a10a8b53b9/html5/thumbnails/1.jpg)
Unit 5: Non-Cartesian Functions
LG 5-1: Vector Functions (quiz 10/14)
LG 5-2: Parametric Functions (quiz 10/16)
LG 5-3: Polar Functions (quiz 10/18)
TEST 10/21
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A Vector is a directed line segment that A Vector is a directed line segment that has two has two and only two and only two defining defining
characteristics:characteristics:
Magnitude : size/lengthDirection: direction from one place to
another (has 2 parts – an angle and a cardinal direction)
The notation of a vector is a single letter in bold (v or u, etc) or a single letter with an arrow on top
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ComponentsComponentsVectors are made up of the Horizontal (x)
and Vertical (y) Components
Express the vector coordinates below as ordered pairs in simplest radical form.
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Find the horizontal and vertical Find the horizontal and vertical components of the vector:components of the vector:
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Find the horizontal and vertical Find the horizontal and vertical components of the vector:components of the vector:
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If a position vector has length 8 cm and direction 60°SW, then find the horizontal &
vertical components.
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Find the magnitude and direction of the vector:
v = 2, 3
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Vector OperationsVector OperationsTo add vectors in component form, just add the
horizontal components and the vertical components.
1 1 2 2,u v u v u v
To add vectors graphically, just play “follow the leader.” Then draw a new vector from the start of the first to the end of the second.
The new vector is called the resultant or
displacement vector.
15,3
5
,4
43, 6,71
u v
u v