19 lines
717 B
Markdown
19 lines
717 B
Markdown
Tags: [[Calculus 3]]
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- Vectors
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- have both magnitude and direction
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- Operations on vectors
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- scalar multiplication
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- multiply both components of vector by the same scalar
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- doensn't change the direction of the vector
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- addition
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- add the corresponding components together
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- same as putting initial point of one on terminal point of other
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- subtraction
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- v - w can be represented as v + (-w)
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- when initial points are the same, difference is the vector formed between the two terminal points
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- can also add the negative of one vector to the other
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- Component form
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- when a vectors initial point is at (0,0) it can be written in component form
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- <x, y>
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- Magnitude
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- Pythagoras |