184_notes:math_review

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184_notes:math_review [2018/05/17 13:40] – curdemma184_notes:math_review [2018/05/17 13:43] – [Vector Addition] curdemma
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 ==== Vector Addition ==== ==== Vector Addition ====
  
-[{{course_planning:course_notes:2d_vector_addition.png?250|graphical 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}}]+[{{  course_planning:course_notes:2d_vector_subtraction.png?225|graphical vector subtraction}}]
 Two vectors are added (or subtracted) component by component: Two vectors are added (or subtracted) component by component:
 $$ \vec{a} +\vec{b} = \langle a_x, a_y, a_z \rangle + \langle b_x, b_y, b_z \rangle = \langle a_x+b_x, a_y+b_y, a_z+b_z \rangle  $$ $$ \vec{a} +\vec{b} = \langle a_x, a_y, a_z \rangle + \langle b_x, b_y, b_z \rangle = \langle a_x+b_x, a_y+b_y, a_z+b_z \rangle  $$
 $$ \vec{a} - \vec{b} = \langle a_x, a_y, a_z \rangle - \langle b_x, b_y, b_z \rangle = \langle a_x-b_x, a_y-b_y, a_z-b_z \rangle $$  $$ \vec{a} - \vec{b} = \langle a_x, a_y, a_z \rangle - \langle b_x, b_y, b_z \rangle = \langle a_x-b_x, a_y-b_y, a_z-b_z \rangle $$ 
 //**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.
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 ==== Vector Multiplication ==== ==== Vector Multiplication ====
  
  • 184_notes/math_review.txt
  • Last modified: 2020/08/24 19:30
  • by dmcpadden