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184_notes:math_review [2018/05/17 13:47] – [Vector Multiplication] curdemma | 184_notes:math_review [2020/08/24 19:30] (current) – dmcpadden |
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[[184_notes:defining_a_system|Next Page: Defining a System]] | /*[[184_notes:defining_a_system|Next Page: Defining a System]]*/ |
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===== Math Review ===== | ===== Math Review ===== |
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==== Vector Addition ==== | ==== Vector Addition ==== |
| [{{ course_planning:course_notes:2d_vector_addition.png?225|graphical vector addition }}] |
| [{{ course_planning:course_notes:2d_vector_subtraction.png?225|graphical vector subtraction }}] |
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[{{ course_planning:course_notes:2d_vector_addition.png?200|graphical vector addition}}] | |
[{{ course_planning:course_notes:2d_vector_subtraction.png?200|graphical vector subtraction}}] | |
Two vectors are added (or subtracted) component by component: | Two vectors are added (or subtracted) component by component: |
→a+→b=⟨ax,ay,az⟩+⟨bx,by,bz⟩=⟨ax+bx,ay+by,az+bz⟩
| →a+→b=⟨ax,ay,az⟩+⟨bx,by,bz⟩=⟨ax+bx,ay+by,az+bz⟩
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→a−→b=⟨ax,ay,az⟩−⟨bx,by,bz⟩=⟨ax−bx,ay−by,az−bz⟩ | →a−→b=⟨ax,ay,az⟩−⟨bx,by,bz⟩=⟨ax−bx,ay−by,az−bz⟩ |
//**Note: You CANNOT simply add or subtract the magnitudes.**// This disregards the direction that the vectors point in. Alternatively, you can use the [[183_notes:scalars_and_vectors#adding_&_subtracting_vectors|"tip-to-tail" method]] to add or subtract vectors if you have them drawn out graphically. | //**Note: You CANNOT simply add or subtract the magnitudes.**// This disregards the direction that the vectors point in. Alternatively, you can use the [[183_notes:scalars_and_vectors#adding_&_subtracting_vectors|"tip-to-tail" method]] to add or subtract vectors if you have them drawn out graphically. |
==== Vector Multiplication ==== | ==== Vector Multiplication ==== |
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