Casio FX-CG20 AU - Dot Product; Vector Addition, Subtraction, and Multiplication

2-62
u Vector Addition, Subtraction, and Multiplication [OPTN]-[MAT/VCT]-[Vct]
Example 1 To determine the sum of the two vectors shown below (Vct A + Vct B):
Vct A = [ 1 2 ] Vct B = [ 3 4 ]
K2(MAT/VCT)6(g)6(g)1(Vct)
av(A)+1(Vct)al(B)w
Example 2 To determine the product of the two vectors shown below (Vct A × Vct B):
Vct A = [ 1 2 ] Vct B =
K2(MAT/VCT)6(g)6(g)1(Vct)
av(A)*1(Vct)al(B)w
Example 3 To determine the product of the matrix and vector shown below (Mat A ×
Vct B):
Mat A = Vct B =
K2(MAT/VCT)1(Mat)
av(A)*6(g)6(g)
1(Vct)al(B)w
• When performing addition or subtraction of two vectors, they both must have the same
dimensions.
• When multiplying Vct A (1 ×
n) and Vct B (m × 1), n and m must be the same.
u Dot Product [OPTN]-[MAT/VCT]-[DotP]
Example To determine the dot product of the two vectors below
Vct A = [ 1 2 ] Vct B = [ 3 4 ]
K2(MAT/VCT)6(g)6(g)
2(DotP( )1(Vct)av(A),
1(Vct)al(B))w
3
4
3
4
1 2
2 1
1 2
2 1
1
2
1
2