The Sum, Difference And Inner Product Of Two Vectors - Casio fx-3650P Programming Manual

21 The sum, difference and inner
product of two vectors
The sum and difference of two vectors in 3-dimensional space is obtained by adding and
subtracting their respective components.
α
→
For example, for
→
α β
( )
→
+ = a b c , , +
→
α β
( )
→
– = a b c , , –
The inner product is defined:
→
→ →
α β α β
→ ⋅
= cos
？→ Ａ：？→ Ｂ：？→ Ｃ：Ａ → Ｘ：Ｂ → Ｙ：Ｃ → Ｍ：？→ Ａ：？→ Ｂ：？→ Ｃ：Ａ ＋ Ｘ
→ Ａ：Ｂ ＋ Ｙ → Ｂ：Ｃ ＋ Ｍ → Ｃ：Ａ
－ Ｃ → Ｃ ： Ａ Ｂ
INPUT Ａ,Ｂ,Ｃ(first time)
OUTPUT Ａ,Ｂ,Ｃ(first time)
Ａ,Ｂ,Ｃ(second time): difference of two vectors
Ｄ
α
→ ( )
= 1 2 3 , ,
For
→
α β
→ ( ,
+ = 3 10 0
Prog 1
30
→
β
( )
a b
= , , c =
,
( ) (
a' b' c' , , = a
( ) (
a' b' c' , , = a a'
θ
= aa' + bb' + cc'
（Ｘ － Ａ） Ｘ ＋ （Ｙ － Ｂ） Ｙ ＋ （Ｍ － Ｃ） Ｍ → Ｄ ： Ｄ ＜ 111 STEP ＞
Ｃ
α
→
:
: sum of two vectors
: inner product
→
β
(
= 2 8 3 – , ,
and
→
α β
, ) → (
– = 1 – 6 – 6
,
( ' , ' c' , )
a b
,
)
+ a' , b + b' , c + c'
)
– , b b' – , c c' –
Ｂ Ｃ ２ Ｘ － Ａ → Ａ：２ Ｙ － Ｂ → Ｂ：２ Ｍ
( )
= a b c , ,
Ａ,Ｂ,Ｃ(second time):
→
α β
→ ⋅
)
,
→
α β
, , ) → ⋅
=
,
S A
→
β
=
9
P1 P1 P2 P3 P4 D R
' ' '
( )
a , b , c
G