(−1,3,6),B(−6,2,6),C(−3,7,10).
1)
AB
=(−6+1,2−3,6−6)=(−5,−1,0)
=−5
i
−
j
,∣
∣=
25+1
=
26
AC
=(−3+1,7−3,10−6)=(−2,4,4)
=−2
+4
k
4+16+16
36
=6
\begin{gathered}2)\; \; \overline {AB}\cdot \overline {AC}=10-4+0=6cos\varphi =\frac{\overline {AB}\cdot \overline {AC}}{|\overline {AB}|\cdot |\overline {AC}|} =\frac{6}{\sqrt{26}\cdot 6}=\frac{1}{\sqrt{26}}varphi =arccos\frac{1}{\sqrt{26}}\end{gathered}
2)
⋅
=10−4+0=6
cosφ=
∣
∣⋅∣
⋅6
6
1
φ=arccos
\begin{gathered}3)\; \; A(x-x_0)+B(y-y_0)+C(z-z_0)=0-5\cdot (x+3)-1\cdot (y-7)+0\cdot (z-10)=0-5x-y-8=0pi :\; \; 5x+y+8=0\end{gathered}
3)A(x−x
0
)+B(y−y
)+C(z−z
)=0
−5⋅(x+3)−1⋅(y−7)+0⋅(z−10)=0
−5x−y−8=0
π:5x+y+8=0
ну вроде так
(−1,3,6),B(−6,2,6),C(−3,7,10).
1)
AB
=(−6+1,2−3,6−6)=(−5,−1,0)
AB
=−5
i
−
j
,∣
AB
∣=
25+1
=
26
AC
=(−3+1,7−3,10−6)=(−2,4,4)
AC
=−2
i
+4
j
+4
k
,∣
AC
∣=
4+16+16
=
36
=6
\begin{gathered}2)\; \; \overline {AB}\cdot \overline {AC}=10-4+0=6cos\varphi =\frac{\overline {AB}\cdot \overline {AC}}{|\overline {AB}|\cdot |\overline {AC}|} =\frac{6}{\sqrt{26}\cdot 6}=\frac{1}{\sqrt{26}}varphi =arccos\frac{1}{\sqrt{26}}\end{gathered}
2)
AB
⋅
AC
=10−4+0=6
cosφ=
∣
AB
∣⋅∣
AC
∣
AB
⋅
AC
=
26
⋅6
6
=
26
1
φ=arccos
26
1
\begin{gathered}3)\; \; A(x-x_0)+B(y-y_0)+C(z-z_0)=0-5\cdot (x+3)-1\cdot (y-7)+0\cdot (z-10)=0-5x-y-8=0pi :\; \; 5x+y+8=0\end{gathered}
3)A(x−x
0
)+B(y−y
0
)+C(z−z
0
)=0
−5⋅(x+3)−1⋅(y−7)+0⋅(z−10)=0
−5x−y−8=0
π:5x+y+8=0
ну вроде так
93840:46 = 2040
250*18 = 4500
7068 - 2040 = 5028
5028 - 4500 = 528
2076+456*532-185060:487 = 244288
456*532 = 242592
185060:487 = 380
242592 + 2076 = 244668
244668 - 380 = 244288
(37906-27609)-369*428:492 = 9976
37906-27609 = 10297
369*428 = 157932
157932 : 492 = 321
10297 - 321 = 9976
15953:53+29080*18-490076 = 33665
15953:53 = 301
29080*18 = 523440
523440 + 301 = 523741
523741 - 490076 = 33665
143620:172+5803*700-15231 = 4047704
143620:172 = 835
5803*700 = 4062100
835 + 4062100 = 4062935
4062935 - 15231 = 4047704
31128-23618+(639149+684737):326 = 11571
639149+684737 = 1323886
1323886 : 326 = 4061
31128-23618 = 7510
7510 + 4061 = 11571