24
15
The angle between two vectors
The angle between two vectors and , not equal to 0 for 0 being the origin, can be
obtained in the following way:
Program
？→ Ａ：？→ Ｂ：？→ Ｃ：Ａ → Ｘ：Ｂ → Ｙ：Ｃ → Ｍ：？→ Ａ：？→ Ｂ：？→ Ｃ：（ＡＸ＋ＢＹ
＋ＣＭ）÷√（（Ａ
２
＋Ｂ
２
＋Ｃ
２
）（Ｘ
２
＋Ｙ
２
＋Ｍ
２
））→Ｄ:ｃｏｓ
－１
Ｄ→Ｄ：Ｄ ＜79 STEP＞
INPUT ＜ 1st ＞Ａ,Ｂ,Ｃ：（
a
1
,
a
2
,
a
3
） ＜ 2nd ＞Ａ,Ｂ,Ｃ：（
b
1
,
b
2
,
b
3
）
OUTPUT Ｄ : the angle between two vectors:
Execution Example:
Find the angle between the vectors (0,0,1) and (2,3,4).
To obtain the answer in radians, press before
executing the program.
θ
a
→
b
→
a
b
θ
1–
cos
ab⋅
a
b
------------=
→
→
→
→
aa
1
a
2
a
3
,,()=
bb
1
b
2
b
3
,,()=
→
→
ON
MODE MODE MODE
1
PRGM
MODE
1
COMP
1
P1
θ
MODE MODE
MODE MODE
1
DEG
S A
D R
P1
P2 P3 P4
G
Prog
1
0
EXE
M
S A
D
P1
P2 P3 P4
GD
0
EXE
1
EXE
M
S A
D R
P1
P2 P3 P4
G
2
EXE
3
EXE
4
EXE
M
S A
D R
P1
P2 P3 P4
G
MODE MODE MODE MODE
2
関数電卓事例集 .book 24 ページ ２００２年９月２日 月曜日 午後６時５１分
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