•Example: To add Vector A = (1 –2 3) to Vector B = (4 5

–6). (Result: (5 3 –3))

(3-dimensional Vector A)

A z 1(Dim) 1(A) 3

=

(Element input)

1 = D 2 = 3 = t

(3-dimensional Vector B)

A z 1(Dim) 2(B) 3

=

(Element input)

4 = 5 = D 6 = t

(VctA + VctB)

A z3(Vct) 1(A) +

 

A z3(Vct) 2(B) =

•An error occurs in the above procedure if you specify vectors of different dimensions.

kCalculating the Scalar Product of a Vector

Use the procedure shown below to obtain the scalar product (fixed multiple) of a vector.

•Example: To multiply Vector C = (–7.8 9) by 5.

(Result: (–39 45))

(2-dimensional Vector C) A z1(Dim) 3(C) 2 =

(Element input)

D 7 l 8 = 9 = t

(5VctC)

5 - A z3(Vct) 3(C) =

kCalculating the Inner Product of

Two Vectors

Use the procedure described below to obtain the inner product (⋅) for two vectors.

• Example: To calculate the inner product of Vector A and

Vector B

(Result: –24)

(VctA⋅VctB)

A z3(Vct) 1(A)

 

A zr1(Dot)

 

A z3(Vct) 2(B) =

•An error occurs in the above procedure if you specify vectors of different dimensions.

E-20