2022-12-14 - math homework

vec {0A} = left ( stack{0 # 0 # 0} right ) 

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vec {0B} = left ( stack{3 # 3 # 0} right ) 

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vec {0E} = left ( stack{0 # 3 # 5} right ) 

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vec {AB} = left ( stack{3 # 3 # 0} right ) - left ( stack{0 # 0 # 0} right ) = left ( stack{3 # 3 # 0} right )

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vec {AE} = left ( stack{0 # 3 # 5} right ) - left ( stack{0 # 0 # 0} right ) = left ( stack{0 # 3 # 5} right )

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E: vec x =
vec { 0A }
+ r vec { AB }
+ s vec { AE }

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E: vec x =
left ( stack{0 # 0 # 0} right ) 
+ r left ( stack{3 # 3 # 0} right )
+ s left ( stack{0 # 3 # 5} right )

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dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown dotsdown 

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r sei 0,1 newline s sei 0,1

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vec  { {0L}_{3} } =
left ( stack{0 # 0 # 0} right ) 
+ 0,1 left ( stack{3 # 3 # 0} right )
+ 0,1 left ( stack{0 # 3 # 5} right )
=
left ( stack{0 # 0 # 0} right ) 
+ left ( stack{0,3 # 0,3 # 0} right )
+ left ( stack{0 # 0,3 # 0,5} right )
=
left ( stack{0,3 # 0,6 # 0,5} right )

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dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis dotsaxis 

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r sei 0,5 newline s sei 0,5

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vec  { {0L}_{4} } =
left ( stack{0 # 0 # 0} right ) 
+ 0,5 left ( stack{3 # 3 # 0} right )
+ 0,5 left ( stack{0 # 3 # 5} right )
=
left ( stack{0 # 0 # 0} right ) 
+ left ( stack{1,5 # 1,5 # 0} right )
+ left ( stack{0 # 1,5 # 2,5} right )
=
left ( stack{1,5 # 3 # 2,5} right )