Casio FX-991ES Appendix - Page 45

Vector

Page 45 highlights

#110 (a1, a2) . (b1, b2) = a1b1 + a2b2 (a1, a2, a3) . (b1, b2, b3) = a1b1 + a2b2 + a3b3 15(VECTOR)3(VctA) VCT 15(VECTOR)7(Dot) 15(VECTOR)4(VctB)= #111 (a1, a2) × (b1, b2) = (0, 0, a1b2 - a2b1) (a1, a2, a3) × (b1, b2, b3) = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1) VCT 15(VECTOR)3(VctA)* 15(VECTOR)4(VctB) VCT = #112 Abs(a1, a2) = a2 1 + a2 2 Abs(a1, a2, a3) = a2 1 + a2 2 + a2 3 VCT 1w(Abs)15(VECTOR) 5(VctC))= -44-

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–44–
#110
1
5
(VECTOR)
3
(VctA)
1
5
(VECTOR)
7
(Dot)
VCT
1
5
(VECTOR)
4
(VctB)
=
#111
1
5
(VECTOR)
3
(VctA)
*
VCT
1
5
(VECTOR)
4
(VctB)
=
VCT
#112
1w
(Abs)
1
5
(VECTOR)
VCT
5
(VctC)
)=
(
a
1
,
a
2
)
.
(
b
1
,
b
2
)
=
a
1
b
1
+
a
2
b
2
(
a
1
,
a
2
,
a
3
)
.
(
b
1
,
b
2
,
b
3
)
=
a
1
b
1
+
a
2
b
2
+
a
3
b
3
(
a
1
,
a
2
)
×
(
b
1
,
b
2
)
=
(
0
,
0
,
a
1
b
2
a
2
b
1
)
(
a
1
,
a
2
,
a
3
)
×
(
b
1
,
b
2
,
b
3
)
=
(
a
2
b
3
a
3
b
2
,
a
3
b
1
a
1
b
3
,
a
1
b
2
a
2
b
1
)
Abs(
a
1
,
a
2
)
=
a
1
2
+
a
2
2
Abs(
a
1
,
a
2
,
a
3
)
=
a
1
2
+
a
2
2
+
a
3
2