Sharp manual Angle of Vector, Calculation, EL-9900 Graphing Calculator, θ = cos, a b, Flowchart

EL-9900 Graphing Calculator

Angle of Vector

Use the matrix operation feature to find the angle θ and vector. The angle can be calculated at one time

which forms the standard vector 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

Vector data entry

K = K + 1

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.

Print " Input NUMBER Input N

N M

{M,2} dim (mat A) {2,1} dim (mat B) {M,1} dim (mat C) For K, 1, M, 1

Print " Input VECTOR Print K

Input X

X	mat A(K,1)
Input Y
Y	mat	A(K,2)

Y

K ≤ M

N

Entry repeated by no. of vectors.

NEXT

Print "Input FUNDAMENTAL VECTOR

Input X

Entry of standard vector data

Calculation of component of standard vector

Enter x component and Y component of standard vector.

Length component of standard vector (scalar) calculated.

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
For I, 1, M, 1
√	(mat	A(I,1)2+mat A(I,2)2)	A

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

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

		I = I + 1
	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.

Print "θ =

Print θ

Wait

NEXT

End

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