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E-21
kCalculating the Outer Product of
Two Vectors
Use the procedure described below to obtain the outer
product for two vectors.
• Example: To calculate the outer product of Vector A and
Vector B (Result:
(–3, 18, 13)
)
(VctA҂VctB) A
z
3(Vct)
1(A) -
A
z
3(Vct)
2(B) =
• An error occurs in the above procedure if you specify
vectors of different dimensions.
kDetermining the Absolute Value of
a Vector
Use the procedure shown below to obtain the absolute
value (size) of a vector.
• Example: To determine the absolute value of Vector C
(Result:
11.90965994
)
(AbsVctC) A
A
A
z
3(Vct)
3(C)
=
• Example: To determine the size of the angle (angle unit:
Deg) formed by vectors A = (–1 0 1) and B = (1 2 0), and
the size 1 vector perpendicular to both A and B.
(Result:
108.4349488
°)
cos ҃ , which becomes ҃ cos
–1
Size 1 vector perpendicular to both A and B ҃
(3-dimensional Vector A) A
z
1(Dim)
1(A)
3 =
(Element input) D 1 =
0 =
1 = t
(3-dimensional Vector B) A
z
1(Dim)
2(B)
3 =
(Element input) 1 =
2 =
0 = t
(VctA
⋅
VctB) A
z
3(Vct)
1(A)
A
z
r
1(Dot)
A
z
3(Vct)
2(B)
=
(A
⋅
B)
A B
A ҂ B
A ҂ B
(A
⋅
B)
A B