Розрахунок: cQGYrX - 1
cos(α) =
| ( x1* x2+ y1* y2+ z1* z2) |
/ ( saknis( x1^2+ y1^2+ z1^2)* saknis( x2^2+ y2^2+ z2^2)) |
|
|
cos(α) =
$$cos(\alpha)$$ = $$\frac{x1\cdot x2+y1\cdot y2+z1\cdot z2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}$$
| ( x1* x2+ y1* y2+ z1* z2) |
| / ( saknis( x1^2+ y1^2+ z1^2)* saknis( x2^2+ y2^2+ z2^2)) |
cos(α) =
+
+
$$cos(\alpha)$$ = $$\frac{x1\cdot x2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}+\frac{y1\cdot y2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}+\frac{z1\cdot z2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}$$
| x1* x2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
| y1* y2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
| z1* z2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
α = arccos((
+
+
))$$\alpha$$ = $$arccos((\frac{x1\cdot x2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}+\frac{y1\cdot y2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}+\frac{z1\cdot z2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}))$$
| x1* x2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
| y1* y2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
| z1* z2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
α = arccos(
+
+
)$$\alpha$$ = $$arccos(\frac{x1\cdot x2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}+\frac{y1\cdot y2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}}+\frac{z1\cdot z2}{\sqrt {x1^{2}+y1^{2}+z1^{2}}\cdot \sqrt {x2^{2}+y2^{2}+z2^{2}}})$$
| x1* x2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
| y1* y2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |
| z1* z2 |
| / saknis( x1^2+ y1^2+ z1^2)/ saknis( x2^2+ y2^2+ z2^2) |