Sharp EL-9600 manual Calculating vector inner product, Flowchart Programme Listmatrix Mode, = I +

EL-9600 Graphing Calculator

Angle of Vector

Use the matrix operation feature to find the angle θ which forms the standard vector and vector. The angle can be calculated at one time against the multiple vectors.

Calculation

Calculating vector inner product

← a•

← b

=

← a

← b

cos θ

Use the above expression to derive the following expression

θ= cos-1

← ←
a• b
←	←

a b

FLOWCHART

PROGRAMME LIST(MATRIX MODE)

Title : VECTOR

Start

Entry of number of vectors

Definition of arrays

DATA

K = K + 1

Vector data entry

Y

K < M

N

Entry of standard vector data

Calculation of component of standard vector

Enter no. of vectors for which angles are calculated.

Arrays defined. matA, matB, matC.

Counter for data entry

Enter x component and Y component of each vector.

Entry repeated by no. of vectors.

Enter x component and Y component of standard vector.

Length component of standard vector (scalar) calculated.

0	I
0	K
Print " Input NUMBER
Input N
N M
{M,2}		dim	(mat A)
{2,1}		dim	(mat B)
{M,1}		dim	(mat C)
Label DATA
K + 1		K
Print " Input VECTOR
Print K
Input X
X	mat A(K,1)
Input Y
Y	mat A(K,2)
If K<M Goto DATA
Print "Input FUNDAMENTAL VECTOR
Input X
X	mat	B(1,1)
Input Y
Y	mat	B(2,1)
√ (mat		B(1,1)2+mat B(2,1)2) B
mat A mat B mat C

Calculation of	Product of matrices A and B
inner product	calculated.

Label CALC Ι + 1 Ι

	CALC
		I = I + 1
END	Y	I > M
End		N
		Calculation of
	component of vector
	Calculation of angle
	and display of angle

Counter for calculation of angle

Calculation repeated by no. of vectors.

Length component of vector (scalar) calculated.

Angle calculated and displayed.

If I>M Goto END

√(mat A(I,1)2+mat A(I,2)2) A

cos-1(mat C(I,1) / (A B)) θ Print "ANGLE OF VECTOR Print I

Print "θ=

Print θ

Wait

Goto CALC

Label END End

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