Math formulas
Factoring and product formulas
Quadratic equations
Progressions
Trigonometry
Probability theory
Statistics
Circle
Triangles
Quadrangles, polygons
Shape Areas
Solid figures
Equations of geometric shapes
Various
Combinatorics
Vectors
Logarithms
Physics formulas
Search
Factoring and product formulas
Quadratic equations
Progressions
Trigonometry
Probability theory
Statistics
Circle
Triangles
Quadrangles, polygons
Shape Areas
Solid figures
Equations of geometric shapes
Various
Combinatorics
Vectors
Logarithms
Factoring and product formulas
Quadratic equations
Progressions
Trigonometry
Probability theory
Statistics
Circle
Triangles
Quadrangles, polygons
Shape Areas
Solid figures
Equations of geometric shapes
Various
Combinatorics
Vectors
Logarithms
Math formulas
Vectors
The angle between the vectors
The angle between the vectors
$$cos(\alpha) = \frac{x_1\cdot x_2+y_1\cdot y_2}{\sqrt {x_1^{2}+y_1^{2}}\cdot \sqrt {x_2^{2}+y_2^{2}}}$$
α - angle between the vectors
x1, y1 - first vector coordinates
x2, y2 - second vector coordinates
Find
α
α
x1
x2
y1
y2
It is known that:
α
x1
x2
y1
y2
=
x
Calculate '
α
'
1
a
A
δ
Δ
1
2
3
+
<-
4
5
6
-
C
7
8
9
*
(
0
.
=
/
)
^
√
'
!
π
,
;
_
x
sin
cos
tg
ctg
log
arc sin
arc cos
arc tg
arc ctg
ln
′
∫
∫_
|
lg
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
A
C
P
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
α
β
γ
δ
ε
ζ
η
θ
ι
κ
λ
μ
ν
ξ
ο
π
ρ
σ
τ
υ
φ
χ
ψ
ω
ß
ℏ
Α
Β
Γ
Δ
Ε
Ζ
Η
Θ
Ι
Κ
Λ
Μ
Ν
Ξ
Ο
Ρ
Σ
Τ
Υ
Φ
Χ
Ψ
Ω
Ā
×