The Angle Between Two Vectors - Casio fx-3650P Programming Manual

15

The angle between two vectors

θ
The angle between two vectors
obtained in the following way:
→
cos a b ⋅
→
θ
= ----------- -
1 –
→
a b
→
(
a = a , a , a
→

1 2

→
(
b = b , b , b

1 2
ON MODE MODE
？→ Ａ：？→ Ｂ：？→ Ｃ：Ａ → Ｘ：Ｂ → Ｙ：Ｃ → Ｍ：？→ Ａ：？→ Ｂ：？→ Ｃ： （ＡＸ ＋ ＢＹ
２
＋ＣＭ） ÷√ （ （Ａ ＋Ｂ
INPUT ＜ 1st ＞ Ａ,Ｂ,Ｃ： （
OUTPUT Ｄ : the angle between two vectors:
Find the angle between the vectors (0,0,1) and (2,3,4).
MODE MODE
MODE MODE
Prog 1
EXE
0
EXE
0 1
2 EXE 3
To obtain the answer in radians, press
executing the program.
24
a → and
)
3
)
3
MODE
２ ２ ２
＋Ｃ ） （ Ｘ ＋Ｙ
, ,
a a a
1 2 3
,-/
1
EXE
EXE 4 EXE
→
b , not equal to 0 for 0 being the origin, can be
PRGM
COMP
1
MODE
２ ２
＋Ｍ ） ） →Ｄ:ｃｏｓ
） ＜ 2nd ＞ Ａ,Ｂ,Ｃ： （
θ
S A
S A
M
S A M
S A
M
MODE MODE
a
b
1 1
－１
Ｄ→Ｄ ： Ｄ ＜79 STEP＞
, ,
b b b
）
1 2 3
P1 P1 P2 P3 P4 D R
P1 P1 P2 P3 P4 D D
P1 P1 P2 P3 P4 D R
P1 P1 P2 P3 P4 D R
MODE MODE
G
G
G
G
before
2